5202523468800 has 1584 divisors, whose sum is σ = 22680729868160. Its totient is φ = 1156650762240.

The previous prime is 5202523468799. The next prime is 5202523468817. The reversal of 5202523468800 is 88643252025.

5202523468800 is a `hidden beast` number, since 5 + 2 + 0 + 2 + 523 + 46 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1611185586 + ... + 1611188814.

Almost surely, 2^{5202523468800} is an apocalyptic number.

5202523468800 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 5202523468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340364934080).

5202523468800 is an abundant number, since it is smaller than the sum of its proper divisors (17478206399360).

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

5202523468800 is a wasteful number, since it uses less digits than its factorization.

5202523468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5202523468800 in words is "five trillion, two hundred two billion, five hundred twenty-three million, four hundred sixty-eight thousand, eight hundred".