86157789120 has 672 divisors, whose sum is σ = 346865326080. Its totient is φ = 19438755840.

The previous prime is 86157789083. The next prime is 86157789167. The reversal of 86157789120 is 2198775168.

86157789120 is a `hidden beast` number, since 8 + 61 + 577 + 8 + 9 + 1 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22050207 + ... + 22054113.

It is an arithmetic number, because the mean of its divisors is an integer number (516168640).

Almost surely, 2^86157789120 is an apocalyptic number.

86157789120 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 86157789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173432663040).

86157789120 is an abundant number, since it is smaller than the sum of its proper divisors (260707536960).

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

86157789120 is a wasteful number, since it uses less digits than its factorization.

86157789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 86157789120 in words is "eighty-six billion, one hundred fifty-seven million, seven hundred eighty-nine thousand, one hundred twenty".