86256188074836 has 288 divisors, whose sum is σ = 249281502462720. Its totient is φ = 24945032521728.

The previous prime is 86256188074829. The next prime is 86256188074841. The reversal of 86256188074836 is 63847088165268.

86256188074836 is a `hidden beast` number, since 8 + 6 + 2 + 5 + 61 + 8 + 80 + 7 + 483 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1481603200 + ... + 1481661416.

It is an arithmetic number, because the mean of its divisors is an integer number (865560772440).

Almost surely, 2^{86256188074836} 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 86256188074836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124640751231360).

86256188074836 is an abundant number, since it is smaller than the sum of its proper divisors (163025314387884).

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

86256188074836 is a wasteful number, since it uses less digits than its factorization.

86256188074836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60655 (or 60650 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 86256188074836 in words is "eighty-six trillion, two hundred fifty-six billion, one hundred eighty-eight million, seventy-four thousand, eight hundred thirty-six".