86253546682667 has 32 divisors (see below), whose sum is σ = 107254371474432. Its totient is φ = 67540699753344.

The previous prime is 86253546682649. The next prime is 86253546682679. The reversal of 86253546682667 is 76628664535268.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 86253546682667 - 2²² = 86253542488363 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86253546682594 and 86253546682603.

It is not an unprimeable number, because it can be changed into a prime (86253546682637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12532868 + ... + 18154334.

It is an arithmetic number, because the mean of its divisors is an integer number (3351699108576).

Almost surely, 2^{86253546682667} is an apocalyptic number.

86253546682667 is a deficient number, since it is larger than the sum of its proper divisors (21000824791765).

86253546682667 is a wasteful number, since it uses less digits than its factorization.

86253546682667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623227.

The product of its digits is 4180377600, while the sum is 74.

The spelling of 86253546682667 in words is "eighty-six trillion, two hundred fifty-three billion, five hundred forty-six million, six hundred eighty-two thousand, six hundred sixty-seven".