2159957521120 has 192 divisors, whose sum is σ = 5860469615616. Its totient is φ = 736933478400.

The previous prime is 2159957521109. The next prime is 2159957521121. The reversal of 2159957521120 is 211257599512.

It is a happy number.

It is a super-4 number, since 4×2159957521120⁴ (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159957521121) 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, 309579072 + ... + 309586048.

It is an arithmetic number, because the mean of its divisors is an integer number (30523279248).

Almost surely, 2^{2159957521120} is an apocalyptic number.

2159957521120 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 2159957521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930234807808).

2159957521120 is an abundant number, since it is smaller than the sum of its proper divisors (3700512094496).

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

2159957521120 is a wasteful number, since it uses less digits than its factorization.

2159957521120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 49.

The spelling of 2159957521120 in words is "two trillion, one hundred fifty-nine billion, nine hundred fifty-seven million, five hundred twenty-one thousand, one hundred twenty".