2157969766320 has 160 divisors (see below), whose sum is σ = 7434528177600. Its totient is φ = 575340834816.

The previous prime is 2157969766319. The next prime is 2157969766343. The reversal of 2157969766320 is 236679697512.

2157969766320 is a `hidden beast` number, since 2 + 157 + 96 + 9 + 76 + 6 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10719714 + ... + 10919166.

It is an arithmetic number, because the mean of its divisors is an integer number (46465801110).

Almost surely, 2^{2157969766320} is an apocalyptic number.

2157969766320 is a gapful number since it is divisible by the number (20) 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 2157969766320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717264088800).

2157969766320 is an abundant number, since it is smaller than the sum of its proper divisors (5276558411280).

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

2157969766320 is a wasteful number, since it uses less digits than its factorization.

2157969766320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204484 (or 204472 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 2157969766320 in words is "two trillion, one hundred fifty-seven billion, nine hundred sixty-nine million, seven hundred sixty-six thousand, three hundred twenty".