85746697792 has 42 divisors (see below), whose sum is σ = 197933790822. Its totient is φ = 36748583424.

The previous prime is 85746697763. The next prime is 85746697801. The reversal of 85746697792 is 29779664758.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 85745894976 + 802816 = 292824^2 + 896^2 .

It is a super-3 number, since 3×85746697792³ (a number of 34 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 13668213 + ... + 13674484.

Almost surely, 2^85746697792 is an apocalyptic number.

It is an amenable number.

85746697792 is an abundant number, since it is smaller than the sum of its proper divisors (112187093030).

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

85746697792 is a wasteful number, since it uses less digits than its factorization.

85746697792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27342723 (or 27342706 counting only the distinct ones).

The product of its digits is 320060160, while the sum is 70.

The spelling of 85746697792 in words is "eighty-five billion, seven hundred forty-six million, six hundred ninety-seven thousand, seven hundred ninety-two".