5066913600 has 756 divisors, whose sum is σ = 21564807264. Its totient is φ = 1124444160.

The previous prime is 5066913587. The next prime is 5066913617. The reversal of 5066913600 is 63196605.

5066913600 is a `hidden beast` number, since 506 + 6 + 91 + 3 + 60 + 0 = 666.

It is a super-2 number, since 2×5066913600² = 51347226859729920000, which contains 22 as substring.

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 30340717 + ... + 30340883.

Almost surely, 2^5066913600 is an apocalyptic number.

5066913600 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 5066913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10782403632).

5066913600 is an abundant number, since it is smaller than the sum of its proper divisors (16497893664).

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

5066913600 is a wasteful number, since it uses less digits than its factorization.

5066913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 5066913600 is about 71182.2562159981. The cubic root of 5066913600 is about 1717.5702125463.

The spelling of 5066913600 in words is "five billion, sixty-six million, nine hundred thirteen thousand, six hundred".