86108591745792 has 576 divisors, whose sum is σ = 317623825075200. Its totient is φ = 22355106693120.

The previous prime is 86108591745697. The next prime is 86108591745797. The reversal of 86108591745792 is 29754719580168.

It is a happy number.

86108591745792 is a `hidden beast` number, since 8 + 6 + 1 + 0 + 85 + 9 + 1 + 7 + 457 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 86108591745792.

It is not an unprimeable number, because it can be changed into a prime (86108591745797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1137324834 + ... + 1137400542.

Almost surely, 2^{86108591745792} 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 86108591745792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158811912537600).

86108591745792 is an abundant number, since it is smaller than the sum of its proper divisors (231515233329408).

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

86108591745792 is a wasteful number, since it uses less digits than its factorization.

86108591745792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77889 (or 77869 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 72.

The spelling of 86108591745792 in words is "eighty-six trillion, one hundred eight billion, five hundred ninety-one million, seven hundred forty-five thousand, seven hundred ninety-two".