87857602560 has 1344 divisors, whose sum is σ = 392726460672. Its totient is φ = 18345885696.

The previous prime is 87857602519. The next prime is 87857602577. The reversal of 87857602560 is 6520675878.

87857602560 is a `hidden beast` number, since 8 + 7 + 8 + 5 + 76 + 0 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 87857602497 and 87857602506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 905748432 + ... + 905748528.

It is an arithmetic number, because the mean of its divisors is an integer number (292207188).

Almost surely, 2^87857602560 is an apocalyptic number.

87857602560 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 87857602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196363230336).

87857602560 is an abundant number, since it is smaller than the sum of its proper divisors (304868858112).

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

87857602560 is an equidigital number, since it uses as much as digits as its factorization.

87857602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 87857602560 in words is "eighty-seven billion, eight hundred fifty-seven million, six hundred two thousand, five hundred sixty".