88125859600 has 45 divisors (see below), whose sum is σ = 211736642773. Its totient is φ = 35247968960.

The previous prime is 88125859573. The next prime is 88125859607. The reversal of 88125859600 is 695852188.

The square root of 88125859600 is 296860.

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

It can be written as a sum of positive squares in only one way, i.e., 31725309456 + 56400550144 = 178116^2 + 237488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88125859607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5929779 + ... + 5944621.

Almost surely, 2^88125859600 is an apocalyptic number.

88125859600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88125859600 is the 296860-th square number.

It is an amenable number.

88125859600 is an abundant number, since it is smaller than the sum of its proper divisors (123610783173).

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

88125859600 is an frugal number, since it uses more digits than its factorization.

88125859600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29704 (or 14850 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 52.

The spelling of 88125859600 in words is "eighty-eight billion, one hundred twenty-five million, eight hundred fifty-nine thousand, six hundred".