5020108800 has 864 divisors, whose sum is σ = 20839291200. Its totient is φ = 1059717120.

The previous prime is 5020108763. The next prime is 5020108801. The reversal of 5020108800 is 88010205.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5020108801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 173107186 + ... + 173107214.

It is an arithmetic number, because the mean of its divisors is an integer number (24119550).

Almost surely, 2^5020108800 is an apocalyptic number.

5020108800 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 5020108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10419645600).

5020108800 is an abundant number, since it is smaller than the sum of its proper divisors (15819182400).

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

5020108800 is a wasteful number, since it uses less digits than its factorization.

5020108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 5020108800 is about 70852.7261296275. The cubic root of 5020108800 is about 1712.2652513572.

The spelling of 5020108800 in words is "five billion, twenty million, one hundred eight thousand, eight hundred".