86157251184 has 80 divisors (see below), whose sum is σ = 230998965120. Its totient is φ = 27638311680.

The previous prime is 86157251161. The next prime is 86157251203. The reversal of 86157251184 is 48115275168.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 326539 + ... + 528149.

It is an arithmetic number, because the mean of its divisors is an integer number (2887487064).

Almost surely, 2^86157251184 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 86157251184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115499482560).

86157251184 is an abundant number, since it is smaller than the sum of its proper divisors (144841713936).

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

86157251184 is a wasteful number, since it uses less digits than its factorization.

86157251184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201958 (or 201952 counting only the distinct ones).

The product of its digits is 537600, while the sum is 48.

The spelling of 86157251184 in words is "eighty-six billion, one hundred fifty-seven million, two hundred fifty-one thousand, one hundred eighty-four".