85625300400 has 60 divisors (see below), whose sum is σ = 274286382792. Its totient is φ = 22833413120.

The previous prime is 85625300393. The next prime is 85625300413. The reversal of 85625300400 is 400352658.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×85625300400³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35676009 + ... + 35678408.

Almost surely, 2^85625300400 is an apocalyptic number.

85625300400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85625300400 is an abundant number, since it is smaller than the sum of its proper divisors (188661082392).

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

85625300400 is a wasteful number, since it uses less digits than its factorization.

85625300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71354438 (or 71354427 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 85625300400 in words is "eighty-five billion, six hundred twenty-five million, three hundred thousand, four hundred".