2656523304960 has 960 divisors, whose sum is σ = 10142524170240. Its totient is φ = 580953047040.

The previous prime is 2656523304959. The next prime is 2656523304977. The reversal of 2656523304960 is 694033256562.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5812961052 + ... + 5812961508.

It is an arithmetic number, because the mean of its divisors is an integer number (10565129344).

Almost surely, 2^{2656523304960} is an apocalyptic number.

2656523304960 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 2656523304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071262085120).

2656523304960 is an abundant number, since it is smaller than the sum of its proper divisors (7486000865280).

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

2656523304960 is a wasteful number, since it uses less digits than its factorization.

2656523304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 51.

The spelling of 2656523304960 in words is "two trillion, six hundred fifty-six billion, five hundred twenty-three million, three hundred four thousand, nine hundred sixty".