87656472960 has 512 divisors, whose sum is σ = 335121408000. Its totient is φ = 19066060800.

The previous prime is 87656472941. The next prime is 87656472983. The reversal of 87656472960 is 6927465678.

It is a super-2 number, since 2×87656472960² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 87656472894 and 87656472903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25413316 + ... + 25416764.

It is an arithmetic number, because the mean of its divisors is an integer number (654534000).

Almost surely, 2^87656472960 is an apocalyptic number.

87656472960 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 87656472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167560704000).

87656472960 is an abundant number, since it is smaller than the sum of its proper divisors (247464935040).

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

87656472960 is a wasteful number, since it uses less digits than its factorization.

87656472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 87656472960 in words is "eighty-seven billion, six hundred fifty-six million, four hundred seventy-two thousand, nine hundred sixty".