88792166400 has 624 divisors, whose sum is σ = 338929688064. Its totient is φ = 20089405440.

The previous prime is 88792166377. The next prime is 88792166473. The reversal of 88792166400 is 466129788.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337612669 + ... + 337612931.

Almost surely, 2^88792166400 is an apocalyptic number.

88792166400 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 88792166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169464844032).

88792166400 is an abundant number, since it is smaller than the sum of its proper divisors (250137521664).

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

88792166400 is a wasteful number, since it uses less digits than its factorization.

88792166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 88792166400 in words is "eighty-eight billion, seven hundred ninety-two million, one hundred sixty-six thousand, four hundred".