5113180800 has 576 divisors, whose sum is σ = 22466895360. Its totient is φ = 1078272000.

The previous prime is 5113180799. The next prime is 5113180817. The reversal of 5113180800 is 80813115.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5113180800² = 52289235786977280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2619825 + ... + 2621775.

Almost surely, 2^5113180800 is an apocalyptic number.

5113180800 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 5113180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11233447680).

5113180800 is an abundant number, since it is smaller than the sum of its proper divisors (17353714560).

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

5113180800 is a wasteful number, since it uses less digits than its factorization.

5113180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 5113180800 is about 71506.5087946545. The cubic root of 5113180800 is about 1722.7822286770.

Adding to 5113180800 its reverse (80813115), we get a palindrome (5193993915).

The spelling of 5113180800 in words is "five billion, one hundred thirteen million, one hundred eighty thousand, eight hundred".