86157368256960 has 2016 divisors, whose sum is σ = 401391512436096. Its totient is φ = 16505634816000.

The previous prime is 86157368256941. The next prime is 86157368256991. The reversal of 86157368256960 is 6965286375168.

86157368256960 is a `hidden beast` number, since 8 + 6 + 1 + 5 + 7 + 368 + 256 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50770398832 + ... + 50770400528.

It is an arithmetic number, because the mean of its divisors is an integer number (199102932756).

Almost surely, 2^{86157368256960} is an apocalyptic number.

86157368256960 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 86157368256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200695756218048).

86157368256960 is an abundant number, since it is smaller than the sum of its proper divisors (315234144179136).

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

86157368256960 is a wasteful number, since it uses less digits than its factorization.

86157368256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 86157368256960 in words is "eighty-six trillion, one hundred fifty-seven billion, three hundred sixty-eight million, two hundred fifty-six thousand, nine hundred sixty".