86237691120 has 1280 divisors, whose sum is σ = 377975808000. Its totient is φ = 17991106560.

The previous prime is 86237691119. The next prime is 86237691191. The reversal of 86237691120 is 2119673268.

86237691120 is a `hidden beast` number, since 8 + 623 + 7 + 6 + 9 + 1 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 516393277 + ... + 516393443.

It is an arithmetic number, because the mean of its divisors is an integer number (295293600).

Almost surely, 2^86237691120 is an apocalyptic number.

86237691120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86237691120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904000).

86237691120 is an abundant number, since it is smaller than the sum of its proper divisors (291738116880).

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

86237691120 is a wasteful number, since it uses less digits than its factorization.

86237691120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 86237691120 in words is "eighty-six billion, two hundred thirty-seven million, six hundred ninety-one thousand, one hundred twenty".