85983534400 has 84 divisors (see below), whose sum is σ = 218398303360. Its totient is φ = 33283929600.

The previous prime is 85983534367. The next prime is 85983534409. The reversal of 85983534400 is 443538958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85983534409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 817170 + ... + 916369.

Almost surely, 2^85983534400 is an apocalyptic number.

85983534400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85983534400 is an abundant number, since it is smaller than the sum of its proper divisors (132414768960).

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

85983534400 is a wasteful number, since it uses less digits than its factorization.

85983534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733592 (or 1733577 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 85983534400 in words is "eighty-five billion, nine hundred eighty-three million, five hundred thirty-four thousand, four hundred".