88580045376 has 63 divisors (see below), whose sum is σ = 253919182153. Its totient is φ = 29524300800.

The previous prime is 88580045371. The next prime is 88580045377. The reversal of 88580045376 is 67354008588.

The square root of 88580045376 is 297624.

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

88580045376 is a `hidden beast` number, since 8 + 8 + 580 + 0 + 4 + 53 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33261005376 + 55319040000 = 182376^2 + 235200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88580045371) 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, 7136776 + ... + 7149176.

Almost surely, 2^88580045376 is an apocalyptic number.

88580045376 is the 297624-th square number.

It is an amenable number.

88580045376 is an abundant number, since it is smaller than the sum of its proper divisors (165339136777).

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

88580045376 is an frugal number, since it uses more digits than its factorization.

88580045376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24820 (or 12406 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 88580045376 in words is "eighty-eight billion, five hundred eighty million, forty-five thousand, three hundred seventy-six".