5056320000 has 400 divisors, whose sum is σ = 17641103040. Its totient is φ = 1284096000.

The previous prime is 5056319993. The next prime is 5056320037. The reversal of 5056320000 is 236505.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×5056320000³ (a number of 30 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 22079886 + ... + 22080114.

Almost surely, 2^5056320000 is an apocalyptic number.

5056320000 is a gapful number since it is divisible by the number (50) 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 5056320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8820551520).

5056320000 is an abundant number, since it is smaller than the sum of its proper divisors (12584783040).

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

5056320000 is an equidigital number, since it uses as much as digits as its factorization.

5056320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 5056320000 is about 71107.8054787236. The cubic root of 5056320000 is about 1716.3723796705.

Adding to 5056320000 its reverse (236505), we get a palindrome (5056556505).

The spelling of 5056320000 in words is "five billion, fifty-six million, three hundred twenty thousand".