2153537616160 has 384 divisors, whose sum is σ = 6221628112896. Its totient is φ = 688862085120.

The previous prime is 2153537616127. The next prime is 2153537616179. The reversal of 2153537616160 is 616167353512.

It is a self number, because there is not a number n which added to its sum of digits gives 2153537616160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109323432 + ... + 109343128.

It is an arithmetic number, because the mean of its divisors is an integer number (16202156544).

Almost surely, 2^{2153537616160} is an apocalyptic number.

2153537616160 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 2153537616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110814056448).

2153537616160 is an abundant number, since it is smaller than the sum of its proper divisors (4068090496736).

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

2153537616160 is a wasteful number, since it uses less digits than its factorization.

2153537616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19864 (or 19856 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 2153537616160 in words is "two trillion, one hundred fifty-three billion, five hundred thirty-seven million, six hundred sixteen thousand, one hundred sixty".