87656574000 has 160 divisors (see below), whose sum is σ = 283948254720. Its totient is φ = 23263968000.

The previous prime is 87656573951. The next prime is 87656574017. The reversal of 87656574000 is 47565678.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231381 + ... + 1300619.

It is an arithmetic number, because the mean of its divisors is an integer number (1774676592).

Almost surely, 2^87656574000 is an apocalyptic number.

87656574000 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 87656574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141974127360).

87656574000 is an abundant number, since it is smaller than the sum of its proper divisors (196291680720).

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

87656574000 is a wasteful number, since it uses less digits than its factorization.

87656574000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69476 (or 69460 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 87656574000 in words is "eighty-seven billion, six hundred fifty-six million, five hundred seventy-four thousand".