88392864000 has 1728 divisors, whose sum is σ = 383861237760. Its totient is φ = 17882726400.

The previous prime is 88392863953. The next prime is 88392864013. The reversal of 88392864000 is 46829388.

It is a happy number.

It is a super-2 number, since 2×88392864000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2055647979 + ... + 2055648021.

It is an arithmetic number, because the mean of its divisors is an integer number (222141920).

Almost surely, 2^88392864000 is an apocalyptic number.

88392864000 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 88392864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191930618880).

88392864000 is an abundant number, since it is smaller than the sum of its proper divisors (295468373760).

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

88392864000 is a wasteful number, since it uses less digits than its factorization.

88392864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 88392864000 in words is "eighty-eight billion, three hundred ninety-two million, eight hundred sixty-four thousand".