88379457600 has 504 divisors, whose sum is σ = 355068896160. Its totient is φ = 19136839680.

The previous prime is 88379457563. The next prime is 88379457653. The reversal of 88379457600 is 675497388.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 71 ways as a sum of consecutive naturals, for example, 4458912 + ... + 4478688.

Almost surely, 2^88379457600 is an apocalyptic number.

88379457600 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 88379457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177534448080).

88379457600 is an abundant number, since it is smaller than the sum of its proper divisors (266689438560).

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

88379457600 is a wasteful number, since it uses less digits than its factorization.

88379457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19835 (or 19813 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 88379457600 in words is "eighty-eight billion, three hundred seventy-nine million, four hundred fifty-seven thousand, six hundred".