5056640416800 has 1728 divisors, whose sum is σ = 22088936217600. Its totient is φ = 1111980441600.

The previous prime is 5056640416747. The next prime is 5056640416823. The reversal of 5056640416800 is 86140466505.

5056640416800 is a `hidden beast` number, since 5 + 0 + 566 + 4 + 0 + 4 + 1 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×5056640416800² (a number of 26 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 7513581264 + ... + 7513581936.

It is an arithmetic number, because the mean of its divisors is an integer number (12782949200).

Almost surely, 2^{5056640416800} is an apocalyptic number.

5056640416800 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 5056640416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11044468108800).

5056640416800 is an abundant number, since it is smaller than the sum of its proper divisors (17032295800800).

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

5056640416800 is a wasteful number, since it uses less digits than its factorization.

5056640416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5056640416800 in words is "five trillion, fifty-six billion, six hundred forty million, four hundred sixteen thousand, eight hundred".