86109251904 has 280 divisors, whose sum is σ = 291063642408. Its totient is φ = 24936284160.

The previous prime is 86109251857. The next prime is 86109251909. The reversal of 86109251904 is 40915290168.

86109251904 is a `hidden beast` number, since 8 + 610 + 9 + 25 + 1 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5879822400 + 80229429504 = 76680^2 + 283248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86109251904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86109251909) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1108084 + ... + 1183244.

Almost surely, 2^86109251904 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 86109251904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145531821204).

86109251904 is an abundant number, since it is smaller than the sum of its proper divisors (204954390504).

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

86109251904 is a wasteful number, since it uses less digits than its factorization.

86109251904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75215 (or 75196 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 86109251904 in words is "eighty-six billion, one hundred nine million, two hundred fifty-one thousand, nine hundred four".