87572791296 has 180 divisors, whose sum is σ = 261716582400. Its totient is φ = 28182970368.

The previous prime is 87572791291. The next prime is 87572791303. The reversal of 87572791296 is 69219727578.

87572791296 is a `hidden beast` number, since 8 + 75 + 7 + 279 + 1 + 296 = 666.

It is not an unprimeable number, because it can be changed into a prime (87572791291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4265985 + ... + 4286463.

Almost surely, 2^87572791296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87572791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130858291200).

87572791296 is an abundant number, since it is smaller than the sum of its proper divisors (174143791104).

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

87572791296 is a wasteful number, since it uses less digits than its factorization.

87572791296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20542 (or 20513 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 63.

The spelling of 87572791296 in words is "eighty-seven billion, five hundred seventy-two million, seven hundred ninety-one thousand, two hundred ninety-six".