2156595893760 has 960 divisors, whose sum is σ = 9117041472000. Its totient is φ = 424514027520.

The previous prime is 2156595893737. The next prime is 2156595893791. The reversal of 2156595893760 is 673985956512.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2156595893691 and 2156595893700.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 123585516 + ... + 123602964.

It is an arithmetic number, because the mean of its divisors is an integer number (9496918200).

Almost surely, 2^{2156595893760} is an apocalyptic number.

2156595893760 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 2156595893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558520736000).

2156595893760 is an abundant number, since it is smaller than the sum of its proper divisors (6960445578240).

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

2156595893760 is a wasteful number, since it uses less digits than its factorization.

2156595893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17523 (or 17496 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 66.

The spelling of 2156595893760 in words is "two trillion, one hundred fifty-six billion, five hundred ninety-five million, eight hundred ninety-three thousand, seven hundred sixty".