88232761600 has 243 divisors, whose sum is σ = 225995578977. Its totient is φ = 34104944640.

The previous prime is 88232761577. The next prime is 88232761637. The reversal of 88232761600 is 616723288.

The square root of 88232761600 is 297040.

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., 31763794176 + 56468967424 = 178224^2 + 237632^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1116870361 + ... + 1116870439.

Almost surely, 2^88232761600 is an apocalyptic number.

88232761600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88232761600 is the 297040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88232761600

88232761600 is an abundant number, since it is smaller than the sum of its proper divisors (137762817377).

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

88232761600 is an frugal number, since it uses more digits than its factorization.

88232761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 88232761600 in words is "eighty-eight billion, two hundred thirty-two million, seven hundred sixty-one thousand, six hundred".