86131956472192 has 128 divisors (see below), whose sum is σ = 179431128460800. Its totient is φ = 41106289213440.

The previous prime is 86131956472117. The next prime is 86131956472201. The reversal of 86131956472192 is 29127465913168.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

Its product of digits (39191040) is a multiple of the sum of its prime factors (31104).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2974052592 + ... + 2974081552.

It is an arithmetic number, because the mean of its divisors is an integer number (1401805691100).

Almost surely, 2^{86131956472192} 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 86131956472192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89715564230400).

86131956472192 is an abundant number, since it is smaller than the sum of its proper divisors (93299171988608).

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

86131956472192 is a wasteful number, since it uses less digits than its factorization.

86131956472192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31104 (or 31092 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 64.

The spelling of 86131956472192 in words is "eighty-six trillion, one hundred thirty-one billion, nine hundred fifty-six million, four hundred seventy-two thousand, one hundred ninety-two".