5056319520 has 576 divisors, whose sum is σ = 21992705280. Its totient is φ = 1029832704.

The previous prime is 5056319519. The next prime is 5056319533. The reversal of 5056319520 is 259136505.

5056319520 is a `hidden beast` number, since 5 + 0 + 563 + 1 + 95 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 3255064 + ... + 3256616.

It is an arithmetic number, because the mean of its divisors is an integer number (38181780).

Almost surely, 2^5056319520 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 5056319520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10996352640).

5056319520 is an abundant number, since it is smaller than the sum of its proper divisors (16936385760).

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

5056319520 is a wasteful number, since it uses less digits than its factorization.

5056319520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 5056319520 is about 71107.8021035667. The cubic root of 5056319520 is about 1716.3723253583.

The spelling of 5056319520 in words is "five billion, fifty-six million, three hundred nineteen thousand, five hundred twenty".