88113985600 has 189 divisors, whose sum is σ = 223467226293. Its totient is φ = 34195968000.

The previous prime is 88113985567. The next prime is 88113985607. The reversal of 88113985600 is 658931188.

The square root of 88113985600 is 296840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 59954460736 + 28159524864 = 244856^2 + 167808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88113985607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 486817510 + ... + 486817690.

Almost surely, 2^88113985600 is an apocalyptic number.

88113985600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88113985600 is the 296840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88113985600

88113985600 is an abundant number, since it is smaller than the sum of its proper divisors (135353240693).

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

88113985600 is an equidigital number, since it uses as much as digits as its factorization.

88113985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

Multiplying 88113985600 by its sum of digits (49), we get a square (4317585294400 = 2077880²).

The spelling of 88113985600 in words is "eighty-eight billion, one hundred thirteen million, nine hundred eighty-five thousand, six hundred".