85258160100 has 81 divisors (see below), whose sum is σ = 267264425883. Its totient is φ = 22733173440.

The previous prime is 85258160069. The next prime is 85258160123. The reversal of 85258160100 is 106185258.

The square root of 85258160100 is 291990.

It is a perfect power (a square), and thus also a powerful number.

85258160100 is a `hidden beast` number, since 8 + 5 + 2 + 581 + 60 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6355597284 + 78902562816 = 79722^2 + 280896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 26 ways as a sum of consecutive naturals, for example, 8754834 + ... + 8764566.

Almost surely, 2^85258160100 is an apocalyptic number.

85258160100 is the 291990-th square number.

It is an amenable number.

85258160100 is an abundant number, since it is smaller than the sum of its proper divisors (182006265783).

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

85258160100 is an equidigital number, since it uses as much as digits as its factorization.

85258160100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19486 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Multiplying 85258160100 by its sum of digits (36), we get a square (3069293763600 = 1751940²).

85258160100 divided by its sum of digits (36) gives a square (2368282225 = 48665²).

The spelling of 85258160100 in words is "eighty-five billion, two hundred fifty-eight million, one hundred sixty thousand, one hundred".