5056948800 has 672 divisors, whose sum is σ = 19918070400. Its totient is φ = 1244160000.

The previous prime is 5056948753. The next prime is 5056948817. The reversal of 5056948800 is 88496505.

5056948800 is a `hidden beast` number, since 5 + 0 + 569 + 4 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50068750 + ... + 50068850.

Almost surely, 2^5056948800 is an apocalyptic number.

5056948800 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 5056948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9959035200).

5056948800 is an abundant number, since it is smaller than the sum of its proper divisors (14861121600).

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

5056948800 is a wasteful number, since it uses less digits than its factorization.

5056948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5056948800 is about 71112.2267968034. The cubic root of 5056948800 is about 1716.4435256302.

The spelling of 5056948800 in words is "five billion, fifty-six million, nine hundred forty-eight thousand, eight hundred".