88251502920 has 192 divisors, whose sum is σ = 308186104320. Its totient is φ = 20158258176.

The previous prime is 88251502901. The next prime is 88251502939. The reversal of 88251502920 is 2920515288.

It is an interprime number because it is at equal distance from previous prime (88251502901) and next prime (88251502939).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10715124 + ... + 10723356.

It is an arithmetic number, because the mean of its divisors is an integer number (1605135960).

Almost surely, 2^88251502920 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 88251502920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154093052160).

88251502920 is an abundant number, since it is smaller than the sum of its proper divisors (219934601400).

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

88251502920 is a wasteful number, since it uses less digits than its factorization.

88251502920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10084 (or 10073 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 88251502920 in words is "eighty-eight billion, two hundred fifty-one million, five hundred two thousand, nine hundred twenty".