85020657567 has 64 divisors (see below), whose sum is σ = 132041539584. Its totient is φ = 48329233920.

The previous prime is 85020657541. The next prime is 85020657599. The reversal of 85020657567 is 76575602058.

It is a happy number.

It is not a de Polignac number, because 85020657567 - 2³⁴ = 67840788383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85020652567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1684188 + ... + 1733934.

It is an arithmetic number, because the mean of its divisors is an integer number (2063149056).

Almost surely, 2^85020657567 is an apocalyptic number.

85020657567 is a deficient number, since it is larger than the sum of its proper divisors (47020882017).

85020657567 is a wasteful number, since it uses less digits than its factorization.

85020657567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49868.

The product of its (nonzero) digits is 3528000, while the sum is 51.

The spelling of 85020657567 in words is "eighty-five billion, twenty million, six hundred fifty-seven thousand, five hundred sixty-seven".