85502656512 has 816 divisors, whose sum is σ = 320610151680. Its totient is φ = 22167945216.

The previous prime is 85502656511. The next prime is 85502656513. The reversal of 85502656512 is 21565620558.

85502656512 is a `hidden beast` number, since 8 + 5 + 50 + 26 + 565 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (85502656511) and next prime (85502656513).

It is a super-2 number, since 2×85502656512² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85502656511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1449197539 + ... + 1449197597.

Almost surely, 2^85502656512 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 85502656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160305075840).

85502656512 is an abundant number, since it is smaller than the sum of its proper divisors (235107495168).

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

85502656512 is an frugal number, since it uses more digits than its factorization.

85502656512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 85502656512 in words is "eighty-five billion, five hundred two million, six hundred fifty-six thousand, five hundred twelve".