85707592768 has 112 divisors (see below), whose sum is σ = 205938388224. Its totient is φ = 34548940800.

The previous prime is 85707592709. The next prime is 85707592769. The reversal of 85707592768 is 86729570758.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (85707592769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17308693 + ... + 17313643.

Almost surely, 2^85707592768 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 85707592768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102969194112).

85707592768 is an abundant number, since it is smaller than the sum of its proper divisors (120230795456).

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

85707592768 is a wasteful number, since it uses less digits than its factorization.

85707592768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7260 (or 7250 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 64.

The spelling of 85707592768 in words is "eighty-five billion, seven hundred seven million, five hundred ninety-two thousand, seven hundred sixty-eight".