88311977520 has 240 divisors, whose sum is σ = 299338341120. Its totient is φ = 21526262784.

The previous prime is 88311977503. The next prime is 88311977563. The reversal of 88311977520 is 2577911388.

It is a tau number, because it is divible by the number of its divisors (240).

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, 4167111 + ... + 4188249.

It is an arithmetic number, because the mean of its divisors is an integer number (1247243088).

Almost surely, 2^88311977520 is an apocalyptic number.

88311977520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88311977520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149669170560).

88311977520 is an abundant number, since it is smaller than the sum of its proper divisors (211026363600).

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

88311977520 is a wasteful number, since it uses less digits than its factorization.

88311977520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21284 (or 21265 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The spelling of 88311977520 in words is "eighty-eight billion, three hundred eleven million, nine hundred seventy-seven thousand, five hundred twenty".