5045913600 has 864 divisors, whose sum is σ = 21667988160. Its totient is φ = 1008599040.

The previous prime is 5045913577. The next prime is 5045913629. The reversal of 5045913600 is 63195405.

It is a happy number.

It is a super-2 number, since 2×5045913600² = 50922488117329920000, which contains 22 as substring.

It is a congruent number.

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, 265574391 + ... + 265574409.

It is an arithmetic number, because the mean of its divisors is an integer number (25078690).

Almost surely, 2^5045913600 is an apocalyptic number.

5045913600 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 5045913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10833994080).

5045913600 is an abundant number, since it is smaller than the sum of its proper divisors (16622074560).

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

5045913600 is a wasteful number, since it uses less digits than its factorization.

5045913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 5045913600 is about 71034.5943889314. The cubic root of 5045913600 is about 1715.1940836656.

The spelling of 5045913600 in words is "five billion, forty-five million, nine hundred thirteen thousand, six hundred".