5204730009600 has 2592 divisors, whose sum is σ = 22914537282000. Its totient is φ = 1125030297600.

The previous prime is 5204730009587. The next prime is 5204730009601. The reversal of 5204730009600 is 69000374025.

5204730009600 is a `hidden beast` number, since 5 + 2 + 0 + 47 + 3 + 0 + 0 + 0 + 9 + 600 = 666.

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 (5204730009601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 273933158391 + ... + 273933158409.

Almost surely, 2^{5204730009600} is an apocalyptic number.

5204730009600 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 5204730009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457268641000).

5204730009600 is an abundant number, since it is smaller than the sum of its proper divisors (17709807272400).

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

5204730009600 is a wasteful number, since it uses less digits than its factorization.

5204730009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 5204730009600 in words is "five trillion, two hundred four billion, seven hundred thirty million, nine thousand, six hundred".