252001368288 has 144 divisors (see below), whose sum is σ = 730857057840. Its totient is φ = 82340831232.

The previous prime is 252001368253. The next prime is 252001368301. The reversal of 252001368288 is 882863100252.

252001368288 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 0 + 1 + 368 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5977170 + ... + 6019182.

It is an arithmetic number, because the mean of its divisors is an integer number (5075396235).

Almost surely, 2^252001368288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252001368288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365428528920).

252001368288 is an abundant number, since it is smaller than the sum of its proper divisors (478855689552).

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

252001368288 is a wasteful number, since it uses less digits than its factorization.

252001368288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42441 (or 42430 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 252001368288 in words is "two hundred fifty-two billion, one million, three hundred sixty-eight thousand, two hundred eighty-eight".