85646879200 has 72 divisors (see below), whose sum is σ = 212513195160. Its totient is φ = 33697113600.

The previous prime is 85646879147. The next prime is 85646879207. The reversal of 85646879200 is 297864658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85646879207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 828730 + ... + 926329.

It is an arithmetic number, because the mean of its divisors is an integer number (2951572155).

Almost surely, 2^85646879200 is an apocalyptic number.

85646879200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85646879200 is an abundant number, since it is smaller than the sum of its proper divisors (126866315960).

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

85646879200 is a wasteful number, since it uses less digits than its factorization.

85646879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755140 (or 1755127 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 85646879200 in words is "eighty-five billion, six hundred forty-six million, eight hundred seventy-nine thousand, two hundred".