88888285200 has 960 divisors, whose sum is σ = 356477184000. Its totient is φ = 18612633600.

The previous prime is 88888285133. The next prime is 88888285253. The reversal of 88888285200 is 258288888.

It is a super-2 number, since 2×88888285200² (a number of 23 digits) contains 22 as substring.

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

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, 446674701 + ... + 446674899.

It is an arithmetic number, because the mean of its divisors is an integer number (371330400).

Almost surely, 2^88888285200 is an apocalyptic number.

88888285200 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 88888285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178238592000).

88888285200 is an abundant number, since it is smaller than the sum of its proper divisors (267588898800).

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

88888285200 is a wasteful number, since it uses less digits than its factorization.

88888285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 5242880, while the sum is 57.

The spelling of 88888285200 in words is "eighty-eight billion, eight hundred eighty-eight million, two hundred eighty-five thousand, two hundred".