85427598400 has 63 divisors (see below), whose sum is σ = 210234055909. Its totient is φ = 34166362880.

The previous prime is 85427598397. The next prime is 85427598409. The reversal of 85427598400 is 489572458.

The square root of 85427598400 is 292280.

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., 30753935424 + 54673662976 = 175368^2 + 233824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85427598409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11687547 + ... + 11694853.

Almost surely, 2^85427598400 is an apocalyptic number.

85427598400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85427598400 is the 292280-th square number.

It is an amenable number.

85427598400 is an abundant number, since it is smaller than the sum of its proper divisors (124806457509).

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

85427598400 is an frugal number, since it uses more digits than its factorization.

85427598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14636 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The spelling of 85427598400 in words is "eighty-five billion, four hundred twenty-seven million, five hundred ninety-eight thousand, four hundred".