88831977841152 has 640 divisors, whose sum is σ = 325256515584000. Its totient is φ = 23310418526208.

The previous prime is 88831977841147. The next prime is 88831977841183. The reversal of 88831977841152 is 25114877913888.

88831977841152 is a `hidden beast` number, since 8 + 8 + 8 + 3 + 1 + 97 + 78 + 411 + 52 = 666.

It is a super-2 number, since 2×88831977841152² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250161393 + ... + 250516239.

It is an arithmetic number, because the mean of its divisors is an integer number (508213305600).

Almost surely, 2^{88831977841152} 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 88831977841152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162628257792000).

88831977841152 is an abundant number, since it is smaller than the sum of its proper divisors (236424537742848).

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

88831977841152 is a wasteful number, since it uses less digits than its factorization.

88831977841152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355093 (or 355071 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 72.

The spelling of 88831977841152 in words is "eighty-eight trillion, eight hundred thirty-one billion, nine hundred seventy-seven million, eight hundred forty-one thousand, one hundred fifty-two".