5069563200 has 1008 divisors, whose sum is σ = 21667988160. Its totient is φ = 1154580480.

The previous prime is 5069563189. The next prime is 5069563201. The reversal of 5069563200 is 23659605.

5069563200 is a `hidden beast` number, since 506 + 95 + 63 + 2 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5069563201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85924771 + ... + 85924829.

It is an arithmetic number, because the mean of its divisors is an integer number (21496020).

Almost surely, 2^5069563200 is an apocalyptic number.

5069563200 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 5069563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10833994080).

5069563200 is an abundant number, since it is smaller than the sum of its proper divisors (16598424960).

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

5069563200 is a wasteful number, since it uses less digits than its factorization.

5069563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5069563200 is about 71200.8651632830. The cubic root of 5069563200 is about 1717.8695453930.

The spelling of 5069563200 in words is "five billion, sixty-nine million, five hundred sixty-three thousand, two hundred".