86570447753800 has 96 divisors (see below), whose sum is σ = 205212464032680. Its totient is φ = 33951870617600.

The previous prime is 86570447753767. The next prime is 86570447753821. The reversal of 86570447753800 is 835774407568.

It can be written as a sum of positive squares in 12 ways, for example, as 333111356964 + 86237336396836 = 577158^2 + 9286406^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12941334 + ... + 18455866.

Almost surely, 2^{86570447753800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86570447753800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102606232016340).

86570447753800 is an abundant number, since it is smaller than the sum of its proper divisors (118642016278880).

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

86570447753800 is a wasteful number, since it uses less digits than its factorization.

86570447753800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516083 (or 5516074 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 64.

The spelling of 86570447753800 in words is "eighty-six trillion, five hundred seventy billion, four hundred forty-seven million, seven hundred fifty-three thousand, eight hundred".