85575516912 has 120 divisors (see below), whose sum is σ = 254699140176. Its totient is φ = 26728777728.

The previous prime is 85575516893. The next prime is 85575516931. The reversal of 85575516912 is 21961557558.

85575516912 is a `hidden beast` number, since 8 + 5 + 575 + 5 + 1 + 69 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (85575516893) and next prime (85575516931).

It is a congruent number.

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, 478698 + ... + 632694.

Almost surely, 2^85575516912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85575516912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127349570088).

85575516912 is an abundant number, since it is smaller than the sum of its proper divisors (169123623264).

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

85575516912 is a wasteful number, since it uses less digits than its factorization.

85575516912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154255 (or 154246 counting only the distinct ones).

The product of its digits is 3780000, while the sum is 54.

The spelling of 85575516912 in words is "eighty-five billion, five hundred seventy-five million, five hundred sixteen thousand, nine hundred twelve".