5202993600 has 504 divisors, whose sum is σ = 21461626368. Its totient is φ = 1170892800.

The previous prime is 5202993569. The next prime is 5202993619. The reversal of 5202993600 is 63992025.

5202993600 is a `hidden beast` number, since 5 + 2 + 0 + 299 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×5202993600² = 54142284803281920000, 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 71 ways as a sum of consecutive naturals, for example, 7156437 + ... + 7157163.

It is an arithmetic number, because the mean of its divisors is an integer number (42582592).

Almost surely, 2^5202993600 is an apocalyptic number.

5202993600 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 5202993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10730813184).

5202993600 is an abundant number, since it is smaller than the sum of its proper divisors (16258632768).

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

5202993600 is a wasteful number, since it uses less digits than its factorization.

5202993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 815 counting only the distinct ones).

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

The square root of 5202993600 is about 72131.7794040879. The cubic root of 5202993600 is about 1732.8106050307.

The spelling of 5202993600 in words is "five billion, two hundred two million, nine hundred ninety-three thousand, six hundred".