85865528804100 has 72 divisors (see below), whose sum is σ = 251582376447360. Its totient is φ = 22607632894080.

The previous prime is 85865528804093. The next prime is 85865528804137. The reversal of 85865528804100 is 140882556858.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1811485347 + ... + 1811532746.

It is an arithmetic number, because the mean of its divisors is an integer number (3494199672880).

Almost surely, 2^{85865528804100} is an apocalyptic number.

It is an amenable number.

85865528804100 is an abundant number, since it is smaller than the sum of its proper divisors (165716847643260).

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

85865528804100 is a wasteful number, since it uses less digits than its factorization.

85865528804100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623018189 (or 3623018182 counting only the distinct ones).

The product of its (nonzero) digits is 24576000, while the sum is 60.

The spelling of 85865528804100 in words is "eighty-five trillion, eight hundred sixty-five billion, five hundred twenty-eight million, eight hundred four thousand, one hundred".