88696752400 has 45 divisors (see below), whose sum is σ = 213108258853. Its totient is φ = 35476318400.

The previous prime is 88696752359. The next prime is 88696752401. The reversal of 88696752400 is 425769688.

The square root of 88696752400 is 297820.

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., 31930830864 + 56765921536 = 178692^2 + 238256^2 .

It is a super-2 number, since 2×88696752400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88696752401) 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, 5948955 + ... + 5963845.

Almost surely, 2^88696752400 is an apocalyptic number.

88696752400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88696752400 is the 297820-th square number.

It is an amenable number.

88696752400 is an abundant number, since it is smaller than the sum of its proper divisors (124411506453).

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

88696752400 is an frugal number, since it uses more digits than its factorization.

88696752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29800 (or 14898 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 88696752400 in words is "eighty-eight billion, six hundred ninety-six million, seven hundred fifty-two thousand, four hundred".