88052253696 has 297 divisors, whose sum is σ = 280461817909. Its totient is φ = 26587545600.

The previous prime is 88052253659. The next prime is 88052253697. The reversal of 88052253696 is 69635225088.

The square root of 88052253696 is 296736.

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

88052253696 is a `hidden beast` number, since 8 + 8 + 0 + 522 + 53 + 69 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59504772096 + 28547481600 = 243936^2 + 168960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88052253697) 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, 313353076 + ... + 313353356.

Almost surely, 2^88052253696 is an apocalyptic number.

88052253696 is the 296736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88052253696

88052253696 is an abundant number, since it is smaller than the sum of its proper divisors (192409564213).

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

88052253696 is a wasteful number, since it uses less digits than its factorization.

88052253696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 88052253696 in words is "eighty-eight billion, fifty-two million, two hundred fifty-three thousand, six hundred ninety-six".