252750199680 has 384 divisors, whose sum is σ = 966348489600. Its totient is φ = 60357242880.

The previous prime is 252750199673. The next prime is 252750199721. The reversal of 252750199680 is 86991057252.

252750199680 is a `hidden beast` number, since 2 + 52 + 7 + 501 + 9 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4215351 + ... + 4274889.

It is an arithmetic number, because the mean of its divisors is an integer number (2516532525).

Almost surely, 2^252750199680 is an apocalyptic number.

252750199680 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 252750199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483174244800).

252750199680 is an abundant number, since it is smaller than the sum of its proper divisors (713598289920).

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

252750199680 is a wasteful number, since it uses less digits than its factorization.

252750199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59642 (or 59627 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 252750199680 in words is "two hundred fifty-two billion, seven hundred fifty million, one hundred ninety-nine thousand, six hundred eighty".