86953895812251 has 40 divisors (see below), whose sum is σ = 143666645715824. Its totient is φ = 52063871065920.

The previous prime is 86953895812213. The next prime is 86953895812261. The reversal of 86953895812251 is 15221859835968.

86953895812251 is a `hidden beast` number, since 8 + 6 + 9 + 5 + 38 + 9 + 581 + 2 + 2 + 5 + 1 = 666.

It is not a de Polignac number, because 86953895812251 - 2¹⁰ = 86953895811227 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86953895812251.

It is not an unprimeable number, because it can be changed into a prime (86953895812261) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1115870485 + ... + 1115948406.

Almost surely, 2^{86953895812251} is an apocalyptic number.

86953895812251 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

86953895812251 is a deficient number, since it is larger than the sum of its proper divisors (56712749903573).

86953895812251 is a wasteful number, since it uses less digits than its factorization.

86953895812251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231818953 (or 2231818944 counting only the distinct ones).

The product of its digits is 373248000, while the sum is 72.

The spelling of 86953895812251 in words is "eighty-six trillion, nine hundred fifty-three billion, eight hundred ninety-five million, eight hundred twelve thousand, two hundred fifty-one".