5206964974200 has 576 divisors, whose sum is σ = 19893845462400. Its totient is φ = 1255219545600.

The previous prime is 5206964974193. The next prime is 5206964974213. The reversal of 5206964974200 is 24794696025.

5206964974200 is a `hidden beast` number, since 5 + 20 + 6 + 96 + 497 + 42 + 0 + 0 = 666.

It is a super-2 number, since 2×5206964974200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95666194 + ... + 95720606.

It is an arithmetic number, because the mean of its divisors is an integer number (34537926150).

Almost surely, 2^{5206964974200} is an apocalyptic number.

5206964974200 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 5206964974200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946922731200).

5206964974200 is an abundant number, since it is smaller than the sum of its proper divisors (14686880488200).

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

5206964974200 is a wasteful number, since it uses less digits than its factorization.

5206964974200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54634 (or 54613 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 5206964974200 in words is "five trillion, two hundred six billion, nine hundred sixty-four million, nine hundred seventy-four thousand, two hundred".