5000956800 has 192 divisors, whose sum is σ = 18825283200. Its totient is φ = 1143060480.

The previous prime is 5000956729. The next prime is 5000956841. The reversal of 5000956800 is 86590005.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29991 + ... + 104409.

It is an arithmetic number, because the mean of its divisors is an integer number (98048350).

Almost surely, 2^5000956800 is an apocalyptic number.

5000956800 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 5000956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9412641600).

5000956800 is an abundant number, since it is smaller than the sum of its proper divisors (13824326400).

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

5000956800 is a wasteful number, since it uses less digits than its factorization.

5000956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74453 (or 74436 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5000956800 is about 70717.4433927019. The cubic root of 5000956800 is about 1710.0850133857.

The spelling of 5000956800 in words is "five billion, nine hundred fifty-six thousand, eight hundred".