86872111524 has 240 divisors, whose sum is σ = 263116687680. Its totient is φ = 24716482560.

The previous prime is 86872111523. The next prime is 86872111583. The reversal of 86872111524 is 42511127868.

86872111524 is a `hidden beast` number, since 8 + 6 + 8 + 7 + 2 + 111 + 524 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 86872111524.

It is not an unprimeable number, because it can be changed into a prime (86872111523) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7646232 + ... + 7657584.

It is an arithmetic number, because the mean of its divisors is an integer number (1096319532).

Almost surely, 2^86872111524 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 86872111524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131558343840).

86872111524 is an abundant number, since it is smaller than the sum of its proper divisors (176244576156).

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

86872111524 is a wasteful number, since it uses less digits than its factorization.

86872111524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11512 (or 11501 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 86872111524 in words is "eighty-six billion, eight hundred seventy-two million, one hundred eleven thousand, five hundred twenty-four".