86574630870 has 256 divisors, whose sum is σ = 284497920000. Its totient is φ = 18243449856.

The previous prime is 86574630851. The next prime is 86574630911. The reversal of 86574630870 is 7803647568.

86574630870 is a `hidden beast` number, since 8 + 6 + 574 + 63 + 0 + 8 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25772251 + ... + 25775609.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320000).

Almost surely, 2^86574630870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86574630870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960000).

86574630870 is an abundant number, since it is smaller than the sum of its proper divisors (197923289130).

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

86574630870 is a wasteful number, since it uses less digits than its factorization.

86574630870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 86574630870 in words is "eighty-six billion, five hundred seventy-four million, six hundred thirty thousand, eight hundred seventy".