86274627813 has 72 divisors (see below), whose sum is σ = 141868516608. Its totient is φ = 50452248000.

The previous prime is 86274627811. The next prime is 86274627889. The reversal of 86274627813 is 31872647268.

86274627813 is a `hidden beast` number, since 8 + 6 + 2 + 7 + 4 + 627 + 8 + 1 + 3 = 666.

It is not a de Polignac number, because 86274627813 - 2¹ = 86274627811 is a prime.

It is a super-2 number, since 2×86274627813² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86274627813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86274627811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3622123 + ... + 3645863.

It is an arithmetic number, because the mean of its divisors is an integer number (1970396064).

Almost surely, 2^86274627813 is an apocalyptic number.

It is an amenable number.

86274627813 is a deficient number, since it is larger than the sum of its proper divisors (55593888795).

86274627813 is a wasteful number, since it uses less digits than its factorization.

86274627813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23887 (or 23873 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 86274627813 in words is "eighty-six billion, two hundred seventy-four million, six hundred twenty-seven thousand, eight hundred thirteen".