86319041256 has 224 divisors, whose sum is σ = 286894137600. Its totient is φ = 23811822720.

The previous prime is 86319041219. The next prime is 86319041269. The reversal of 86319041256 is 65214091368.

86319041256 is a `hidden beast` number, since 8 + 631 + 9 + 0 + 4 + 1 + 2 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1147441 + ... + 1220351.

It is an arithmetic number, because the mean of its divisors is an integer number (1280777400).

Almost surely, 2^86319041256 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 86319041256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143447068800).

86319041256 is an abundant number, since it is smaller than the sum of its proper divisors (200575096344).

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

86319041256 is a wasteful number, since it uses less digits than its factorization.

86319041256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72971 (or 72952 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 86319041256 in words is "eighty-six billion, three hundred nineteen million, forty-one thousand, two hundred fifty-six".