88613431200 has 1728 divisors, whose sum is σ = 401966772480. Its totient is φ = 17915904000.

The previous prime is 88613431199. The next prime is 88613431213. The reversal of 88613431200 is 213431688.

88613431200 is a `hidden beast` number, since 8 + 8 + 6 + 13 + 431 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1452679170 + ... + 1452679230.

It is an arithmetic number, because the mean of its divisors is an integer number (232619660).

Almost surely, 2^88613431200 is an apocalyptic number.

88613431200 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 88613431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200983386240).

88613431200 is an abundant number, since it is smaller than the sum of its proper divisors (313353341280).

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

88613431200 is a wasteful number, since it uses less digits than its factorization.

88613431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 88613431200 its reverse (213431688), we get a palindrome (88826862888).

The spelling of 88613431200 in words is "eighty-eight billion, six hundred thirteen million, four hundred thirty-one thousand, two hundred".