88751220378912 has 2592 divisors, whose sum is σ = 352655258155200. Its totient is φ = 21723562119168.

The previous prime is 88751220378889. The next prime is 88751220378923. The reversal of 88751220378912 is 21987302215788.

88751220378912 is a `hidden beast` number, since 8 + 8 + 7 + 512 + 2 + 0 + 37 + 89 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 88751220378912.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 134675599639 + ... + 134675600297.

It is an arithmetic number, because the mean of its divisors is an integer number (136055269350).

Almost surely, 2^{88751220378912} 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 88751220378912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176327629077600).

88751220378912 is an abundant number, since it is smaller than the sum of its proper divisors (263904037776288).

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

88751220378912 is a wasteful number, since it uses less digits than its factorization.

88751220378912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 88751220378912 in words is "eighty-eight trillion, seven hundred fifty-one billion, two hundred twenty million, three hundred seventy-eight thousand, nine hundred twelve".