84932528400 has 120 divisors (see below), whose sum is σ = 302296926560. Its totient is φ = 22648671360.

The previous prime is 84932528363. The next prime is 84932528413. The reversal of 84932528400 is 482523948.

84932528400 is a `hidden beast` number, since 8 + 49 + 325 + 284 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3921262 + ... + 3942861.

Almost surely, 2^84932528400 is an apocalyptic number.

84932528400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84932528400 is an abundant number, since it is smaller than the sum of its proper divisors (217364398160).

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

84932528400 is a wasteful number, since it uses less digits than its factorization.

84932528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7864150 (or 7864133 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 84932528400 in words is "eighty-four billion, nine hundred thirty-two million, five hundred twenty-eight thousand, four hundred".