85970640892200 has 96 divisors (see below), whose sum is σ = 266548723346400. Its totient is φ = 22922086037760.

The previous prime is 85970640892127. The next prime is 85970640892223. The reversal of 85970640892200 is 229804607958.

It is a super-2 number, since 2×85970640892200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6653122 + ... + 14703921.

It is an arithmetic number, because the mean of its divisors is an integer number (2776549201525).

Almost surely, 2^{85970640892200} is an apocalyptic number.

It is an amenable number.

85970640892200 is an abundant number, since it is smaller than the sum of its proper divisors (180578082454200).

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

85970640892200 is a wasteful number, since it uses less digits than its factorization.

85970640892200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21363771 (or 21363762 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 85970640892200 in words is "eighty-five trillion, nine hundred seventy billion, six hundred forty million, eight hundred ninety-two thousand, two hundred".