5060956800 has 192 divisors, whose sum is σ = 17395047360. Its totient is φ = 1290854400.

The previous prime is 5060956799. The next prime is 5060956807. The reversal of 5060956800 is 86590605.

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

It is a super-2 number, since 2×5060956800² = 51226567462932480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5060956807) 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 23 ways as a sum of consecutive naturals, for example, 209340 + ... + 232260.

It is an arithmetic number, because the mean of its divisors is an integer number (90599205).

Almost surely, 2^5060956800 is an apocalyptic number.

5060956800 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 5060956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8697523680).

5060956800 is an abundant number, since it is smaller than the sum of its proper divisors (12334090560).

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

5060956800 is a wasteful number, since it uses less digits than its factorization.

5060956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22971 (or 22954 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5060956800 is about 71140.4020230417. The cubic root of 5060956800 is about 1716.8968746897.

The spelling of 5060956800 in words is "five billion, sixty million, nine hundred fifty-six thousand, eight hundred".