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1087865372160 = 29335729314161
BaseRepresentation
bin11111101010010011101…
…01000011111000000000
310211222222012121210201000
433311021311003320000
5120310422013402120
62151431454212000
7141411214043550
oct17651165037000
93758865553630
101087865372160
1138a3a7707546
12156a03ab4000
137b77ba97708
143a91da43160
151d4704da990
hexfd49d43e00

1087865372160 has 2560 divisors, whose sum is σ = 4910085734400. Its totient is φ = 222953472000.

The previous prime is 1087865372107. The next prime is 1087865372197. The reversal of 1087865372160 is 612735687801.

It is a happy number.

1087865372160 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 86 + 537 + 21 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1087865372097 and 1087865372106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17833858530 + ... + 17833858590.

It is an arithmetic number, because the mean of its divisors is an integer number (1918002240).

Almost surely, 21087865372160 is an apocalyptic number.

1087865372160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087865372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455042867200).

1087865372160 is an abundant number, since it is smaller than the sum of its proper divisors (3822220362240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1087865372160 is a wasteful number, since it uses less digits than its factorization.

1087865372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1087865372160 in words is "one trillion, eighty-seven billion, eight hundred sixty-five million, three hundred seventy-two thousand, one hundred sixty".