8085575600 has 60 divisors (see below), whose sum is σ = 19567520664. Its totient is φ = 3210600960.

The previous prime is 8085575593. The next prime is 8085575639. The reversal of 8085575600 is 65755808.

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, 18974 + ... + 128573.

Almost surely, 2^8085575600 is an apocalyptic number.

8085575600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8085575600 is an abundant number, since it is smaller than the sum of its proper divisors (11481945064).

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

8085575600 is a wasteful number, since it uses less digits than its factorization.

8085575600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147702 (or 147691 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 44.

The square root of 8085575600 is about 89919.8287364917. The cubic root of 8085575600 is about 2007.1060223215.

The spelling of 8085575600 in words is "eight billion, eighty-five million, five hundred seventy-five thousand, six hundred".