85884102400 has 54 divisors (see below), whose sum is σ = 212576588672. Its totient is φ = 34353638400.

The previous prime is 85884102379. The next prime is 85884102413. The reversal of 85884102400 is 420148858.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6703296 + ... + 6716095.

Almost surely, 2^85884102400 is an apocalyptic number.

85884102400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85884102400 is an abundant number, since it is smaller than the sum of its proper divisors (126692486272).

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

85884102400 is a wasteful number, since it uses less digits than its factorization.

85884102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13419417 (or 13419398 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The spelling of 85884102400 in words is "eighty-five billion, eight hundred eighty-four million, one hundred two thousand, four hundred".