2157659067168 has 192 divisors, whose sum is σ = 6868989388800. Its totient is φ = 653482702080.

The previous prime is 2157659067167. The next prime is 2157659067197. The reversal of 2157659067168 is 8617609567512.

2157659067168 is a `hidden beast` number, since 2 + 1 + 576 + 59 + 0 + 6 + 7 + 1 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2157659067167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17797605 + ... + 17918427.

It is an arithmetic number, because the mean of its divisors is an integer number (35775986400).

Almost surely, 2^{2157659067168} 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 2157659067168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434494694400).

2157659067168 is an abundant number, since it is smaller than the sum of its proper divisors (4711330321632).

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

2157659067168 is a wasteful number, since it uses less digits than its factorization.

2157659067168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122732 (or 122718 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 2157659067168 in words is "two trillion, one hundred fifty-seven billion, six hundred fifty-nine million, sixty-seven thousand, one hundred sixty-eight".