56482801297920 has 480 divisors, whose sum is σ = 212553750689280. Its totient is φ = 13809034690560.

The previous prime is 56482801297847. The next prime is 56482801297957. The reversal of 56482801297920 is 2979210828465.

56482801297920 is a `hidden beast` number, since 5 + 6 + 48 + 280 + 1 + 297 + 9 + 20 = 666.

56482801297920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-5 number, since 5×56482801297920⁵ (a number of 70 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11489482 + ... + 15651638.

It is an arithmetic number, because the mean of its divisors is an integer number (442820313936).

Almost surely, 2^{56482801297920} 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 56482801297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106276875344640).

56482801297920 is an abundant number, since it is smaller than the sum of its proper divisors (156070949391360).

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

56482801297920 is a wasteful number, since it uses less digits than its factorization.

56482801297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162236 (or 4162217 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 56482801297920 in words is "fifty-six trillion, four hundred eighty-two billion, eight hundred one million, two hundred ninety-seven thousand, nine hundred twenty".