88583956992 has 160 divisors (see below), whose sum is σ = 263379124800. Its totient is φ = 29396865024.

The previous prime is 88583956973. The next prime is 88583957047. The reversal of 88583956992 is 29965938588.

88583956992 is a `hidden beast` number, since 8 + 8 + 58 + 3 + 9 + 569 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 88583956992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3123934 + ... + 3152162.

It is an arithmetic number, because the mean of its divisors is an integer number (1646119530).

Almost surely, 2^88583956992 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 88583956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131689562400).

88583956992 is an abundant number, since it is smaller than the sum of its proper divisors (174795167808).

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

88583956992 is a wasteful number, since it uses less digits than its factorization.

88583956992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28483 (or 28461 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 72.

The spelling of 88583956992 in words is "eighty-eight billion, five hundred eighty-three million, nine hundred fifty-six thousand, nine hundred ninety-two".