5056584744960 has 1260 divisors, whose sum is σ = 21175369854408. Its totient is φ = 1155790798848.

The previous prime is 5056584744947. The next prime is 5056584744989. The reversal of 5056584744960 is 694474856505.

5056584744960 is a `hidden beast` number, since 5 + 0 + 5 + 6 + 584 + 7 + 4 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 722369249277 + ... + 722369249283.

Almost surely, 2^{5056584744960} 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 5056584744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10587684927204).

5056584744960 is an abundant number, since it is smaller than the sum of its proper divisors (16118785109448).

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

5056584744960 is an frugal number, since it uses more digits than its factorization.

5056584744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 5056584744960 in words is "five trillion, fifty-six billion, five hundred eighty-four million, seven hundred forty-four thousand, nine hundred sixty".