87290915362560 has 2016 divisors, whose sum is σ = 395260346533248. Its totient is φ = 17967501803520.

The previous prime is 87290915362559. The next prime is 87290915362577. The reversal of 87290915362560 is 6526351909278.

87290915362560 is a `hidden beast` number, since 8 + 7 + 2 + 9 + 0 + 9 + 1 + 5 + 3 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×87290915362560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3481458184 + ... + 3481483256.

It is an arithmetic number, because the mean of its divisors is an integer number (196061679828).

Almost surely, 2^{87290915362560} is an apocalyptic number.

87290915362560 is a gapful number since it is divisible by the number (80) 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 87290915362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197630173266624).

87290915362560 is an abundant number, since it is smaller than the sum of its proper divisors (307969431170688).

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

87290915362560 is a wasteful number, since it uses less digits than its factorization.

87290915362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25173 (or 25144 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 87290915362560 in words is "eighty-seven trillion, two hundred ninety billion, nine hundred fifteen million, three hundred sixty-two thousand, five hundred sixty".