88162704400 has 120 divisors (see below), whose sum is σ = 214749211520. Its totient is φ = 34776967680.

The previous prime is 88162704389. The next prime is 88162704503. The reversal of 88162704400 is 440726188.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 50464327 + ... + 50466073.

Almost surely, 2^88162704400 is an apocalyptic number.

88162704400 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 88162704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107374605760).

88162704400 is an abundant number, since it is smaller than the sum of its proper divisors (126586507120).

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

88162704400 is a wasteful number, since it uses less digits than its factorization.

88162704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 88162704400 in words is "eighty-eight billion, one hundred sixty-two million, seven hundred four thousand, four hundred".