85253915264 has 256 divisors, whose sum is σ = 220288273920. Its totient is φ = 31999131648.

The previous prime is 85253915221. The next prime is 85253915273. The reversal of 85253915264 is 46251935258.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12959144 + ... + 12965720.

It is an arithmetic number, because the mean of its divisors is an integer number (860501070).

Almost surely, 2^85253915264 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 85253915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110144136960).

85253915264 is an abundant number, since it is smaller than the sum of its proper divisors (135034358656).

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

85253915264 is a wasteful number, since it uses less digits than its factorization.

85253915264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6675 (or 6663 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 50.

The spelling of 85253915264 in words is "eighty-five billion, two hundred fifty-three million, nine hundred fifteen thousand, two hundred sixty-four".