87714960592896 has 624 divisors, whose sum is σ = 330180932600064. Its totient is φ = 21772800884736.

The previous prime is 87714960592877. The next prime is 87714960592901. The reversal of 87714960592896 is 69829506941778.

87714960592896 is a `hidden beast` number, since 8 + 7 + 7 + 14 + 9 + 6 + 0 + 592 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56259565 + ... + 57797651.

It is an arithmetic number, because the mean of its divisors is an integer number (529136109936).

Almost surely, 2^{87714960592896} 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 87714960592896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165090466300032).

87714960592896 is an abundant number, since it is smaller than the sum of its proper divisors (242465972007168).

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

87714960592896 is a wasteful number, since it uses less digits than its factorization.

87714960592896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538154 (or 1538129 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 87714960592896 in words is "eighty-seven trillion, seven hundred fourteen billion, nine hundred sixty million, five hundred ninety-two thousand, eight hundred ninety-six".