5000968800 has 432 divisors, whose sum is σ = 18700521840. Its totient is φ = 1255403520.

The previous prime is 5000968799. The next prime is 5000968831. The reversal of 5000968800 is 88690005.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8978122 + ... + 8978678.

It is an arithmetic number, because the mean of its divisors is an integer number (43288245).

Almost surely, 2^5000968800 is an apocalyptic number.

5000968800 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 5000968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350260920).

5000968800 is an abundant number, since it is smaller than the sum of its proper divisors (13699553040).

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

5000968800 is a wasteful number, since it uses less digits than its factorization.

5000968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5000968800 is about 70717.5282373472. The cubic root of 5000968800 is about 1710.0863811909.

The spelling of 5000968800 in words is "five billion, nine hundred sixty-eight thousand, eight hundred".