252549683305920 has 5376 divisors, whose sum is σ = 1222520273694720. Its totient is φ = 46183219200000.

The previous prime is 252549683305889. The next prime is 252549683305937. The reversal of 252549683305920 is 29503386945252.

It is a happy number.

252549683305920 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 4 + 9 + 6 + 8 + 3 + 30 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1047923997000 + ... + 1047923997240.

It is an arithmetic number, because the mean of its divisors is an integer number (227403324720).

Almost surely, 2^{252549683305920} is an apocalyptic number.

252549683305920 is a gapful number since it is divisible by the number (20) 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 252549683305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611260136847360).

252549683305920 is an abundant number, since it is smaller than the sum of its proper divisors (969970590388800).

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

252549683305920 is a wasteful number, since it uses less digits than its factorization.

252549683305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 252549683305920 in words is "two hundred fifty-two trillion, five hundred forty-nine billion, six hundred eighty-three million, three hundred five thousand, nine hundred twenty".