252482001118200 has 960 divisors, whose sum is σ = 1024843644380160. Its totient is φ = 56408306273280.

The previous prime is 252482001118181. The next prime is 252482001118211. The reversal of 252482001118200 is 2811100284252.

It is a happy number.

252482001118200 is a `hidden beast` number, since 2 + 5 + 248 + 200 + 1 + 1 + 1 + 8 + 200 = 666.

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 239 ways as a sum of consecutive naturals, for example, 4119904759 + ... + 4119966041.

It is an arithmetic number, because the mean of its divisors is an integer number (1067545462896).

Almost surely, 2^{252482001118200} is an apocalyptic number.

252482001118200 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 252482001118200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512421822190080).

252482001118200 is an abundant number, since it is smaller than the sum of its proper divisors (772361643261960).

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

252482001118200 is a wasteful number, since it uses less digits than its factorization.

252482001118200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62138 (or 62120 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 252482001118200 in words is "two hundred fifty-two trillion, four hundred eighty-two billion, one million, one hundred eighteen thousand, two hundred".