87556573872 has 120 divisors (see below), whose sum is σ = 253452090528. Its totient is φ = 28197043200.

The previous prime is 87556573861. The next prime is 87556573877. The reversal of 87556573872 is 27837565578.

87556573872 is a `hidden beast` number, since 8 + 7 + 5 + 56 + 573 + 8 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (87556573877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536122 + ... + 680102.

Almost surely, 2^87556573872 is an apocalyptic number.

87556573872 is a gapful number since it is divisible by the number (82) 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 87556573872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126726045264).

87556573872 is an abundant number, since it is smaller than the sum of its proper divisors (165895516656).

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

87556573872 is a wasteful number, since it uses less digits than its factorization.

87556573872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144139 (or 144130 counting only the distinct ones).

The product of its digits is 98784000, while the sum is 63.

The spelling of 87556573872 in words is "eighty-seven billion, five hundred fifty-six million, five hundred seventy-three thousand, eight hundred seventy-two".