86637895970704 has 135 divisors (see below), whose sum is σ = 191857096548819. Its totient is φ = 37878135909120.

The previous prime is 86637895970671. The next prime is 86637895970741. The reversal of 86637895970704 is 40707959873668.

The square root of 86637895970704 is 9307948.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25179320410000 + 61458575560704 = 5017900^2 + 7839552^2 .

It is a super-2 number, since 2×86637895970704² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9196247914 + ... + 9196257334.

Almost surely, 2^{86637895970704} is an apocalyptic number.

86637895970704 is the 9307948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86637895970704

86637895970704 is an abundant number, since it is smaller than the sum of its proper divisors (105219200578115).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86637895970704 is an frugal number, since it uses more digits than its factorization.

86637895970704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18914 (or 9455 counting only the distinct ones).

The product of its (nonzero) digits is 3840721920, while the sum is 79.

The spelling of 86637895970704 in words is "eighty-six trillion, six hundred thirty-seven billion, eight hundred ninety-five million, nine hundred seventy thousand, seven hundred four".