86256220235757 has 64 divisors (see below), whose sum is σ = 139209736786176. Its totient is φ = 46801026754560.

The previous prime is 86256220235737. The next prime is 86256220235791. The reversal of 86256220235757 is 75753202265268.

It is not a de Polignac number, because 86256220235757 - 2⁷ = 86256220235629 is a prime.

It is a super-2 number, since 2×86256220235757² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 86256220235757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86256220235737) 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, 3712498 + ... + 13648995.

It is an arithmetic number, because the mean of its divisors is an integer number (2175152137284).

Almost surely, 2^{86256220235757} is an apocalyptic number.

It is an amenable number.

86256220235757 is a deficient number, since it is larger than the sum of its proper divisors (52953516550419).

86256220235757 is a wasteful number, since it uses less digits than its factorization.

86256220235757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17361870.

The product of its (nonzero) digits is 84672000, while the sum is 60.

The spelling of 86256220235757 in words is "eighty-six trillion, two hundred fifty-six billion, two hundred twenty million, two hundred thirty-five thousand, seven hundred fifty-seven".