5068482400800 has 2880 divisors, whose sum is σ = 23839406680320. Its totient is φ = 1019176058880.

The previous prime is 5068482400769. The next prime is 5068482400831. The reversal of 5068482400800 is 80042848605.

5068482400800 is a `hidden beast` number, since 50 + 6 + 8 + 482 + 40 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5068482400769) and next prime (5068482400831).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 18297770262 + ... + 18297770538.

It is an arithmetic number, because the mean of its divisors is an integer number (8277571764).

Almost surely, 2^{5068482400800} is an apocalyptic number.

5068482400800 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 5068482400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11919703340160).

5068482400800 is an abundant number, since it is smaller than the sum of its proper divisors (18770924279520).

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

5068482400800 is a wasteful number, since it uses less digits than its factorization.

5068482400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 5068482400800 in words is "five trillion, sixty-eight billion, four hundred eighty-two million, four hundred thousand, eight hundred".