85577088200 has 48 divisors (see below), whose sum is σ = 198996750000. Its totient is φ = 34225670720.

The previous prime is 85577088151. The next prime is 85577088253. The reversal of 85577088200 is 288077558.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 1471271 + ... + 1528329.

It is an arithmetic number, because the mean of its divisors is an integer number (4145765625).

Almost surely, 2^85577088200 is an apocalyptic number.

It is an amenable number.

85577088200 is an abundant number, since it is smaller than the sum of its proper divisors (113419661800).

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

85577088200 is a wasteful number, since it uses less digits than its factorization.

85577088200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64574 (or 64565 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 50.

The spelling of 85577088200 in words is "eighty-five billion, five hundred seventy-seven million, eighty-eight thousand, two hundred".