16056761400960 has 512 divisors, whose sum is σ = 58807955404800. Its totient is φ = 3650365440000.

The previous prime is 16056761400943. The next prime is 16056761401003. The reversal of 16056761400960 is 6900416765061.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2735856906 + ... + 2735862774.

It is an arithmetic number, because the mean of its divisors is an integer number (114859287900).

Almost surely, 2^{16056761400960} is an apocalyptic number.

16056761400960 is a gapful number since it is divisible by the number (10) 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 16056761400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29403977702400).

16056761400960 is an abundant number, since it is smaller than the sum of its proper divisors (42751194003840).

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

16056761400960 is a wasteful number, since it uses less digits than its factorization.

16056761400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6960 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 16056761400960 in words is "sixteen trillion, fifty-six billion, seven hundred sixty-one million, four hundred thousand, nine hundred sixty".