1087756750080 has 2880 divisors, whose sum is σ = 5361002938368. Its totient is φ = 203285790720.

The previous prime is 1087756750063. The next prime is 1087756750109. The reversal of 1087756750080 is 800576577801.

It is a happy number.

1087756750080 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 7 + 56 + 7 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 = 1087756749999 and 1087756750026.

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 319 ways as a sum of consecutive naturals, for example, 4877832849 + ... + 4877833071.

Almost surely, 2^{1087756750080} is an apocalyptic number.

1087756750080 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 1087756750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680501469184).

1087756750080 is an abundant number, since it is smaller than the sum of its proper divisors (4273246188288).

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

1087756750080 is a wasteful number, since it uses less digits than its factorization.

1087756750080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 1087756750080 in words is "one trillion, eighty-seven billion, seven hundred fifty-six million, seven hundred fifty thousand, eighty".