56355842949120 has 2080 divisors, whose sum is σ = 245554014071520. Its totient is φ = 12176232284160.

The previous prime is 56355842949073. The next prime is 56355842949181. The reversal of 56355842949120 is 2194924855365.

56355842949120 is a `hidden beast` number, since 5 + 6 + 3 + 5 + 584 + 2 + 9 + 49 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1943304929266 + ... + 1943304929294.

Almost surely, 2^{56355842949120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56355842949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122777007035760).

56355842949120 is an abundant number, since it is smaller than the sum of its proper divisors (189198171122400).

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

56355842949120 is an frugal number, since it uses more digits than its factorization.

56355842949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 56355842949120 in words is "fifty-six trillion, three hundred fifty-five billion, eight hundred forty-two million, nine hundred forty-nine thousand, one hundred twenty".