85768575600 has 60 divisors (see below), whose sum is σ = 274745341016. Its totient is φ = 22871619840.

The previous prime is 85768575553. The next prime is 85768575679. The reversal of 85768575600 is 657586758.

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

It is a congruent number.

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, 35735707 + ... + 35738106.

Almost surely, 2^85768575600 is an apocalyptic number.

85768575600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85768575600 is an abundant number, since it is smaller than the sum of its proper divisors (188976765416).

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

85768575600 is a wasteful number, since it uses less digits than its factorization.

85768575600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71473834 (or 71473823 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 57.

The spelling of 85768575600 in words is "eighty-five billion, seven hundred sixty-eight million, five hundred seventy-five thousand, six hundred".