88560523763712 has 6720 divisors, whose sum is σ = 408208637878272. Its totient is φ = 18498768076800.

The previous prime is 88560523763641. The next prime is 88560523763737. The reversal of 88560523763712 is 21736732506588.

88560523763712 is a `hidden beast` number, since 8 + 8 + 5 + 6 + 0 + 523 + 76 + 37 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 88560523763712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2856791089137 + ... + 2856791089167.

Almost surely, 2^{88560523763712} 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 88560523763712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204104318939136).

88560523763712 is an abundant number, since it is smaller than the sum of its proper divisors (319648114114560).

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

88560523763712 is a wasteful number, since it uses less digits than its factorization.

88560523763712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 88560523763712 in words is "eighty-eight trillion, five hundred sixty billion, five hundred twenty-three million, seven hundred sixty-three thousand, seven hundred twelve".