252517668480000 has 5940 divisors, whose sum is σ = 1205264132968896. Its totient is φ = 51732172800000.

The previous prime is 252517668479987. The next prime is 252517668480029. The reversal of 252517668480000 is 84866715252.

252517668480000 is a `hidden beast` number, since 2 + 52 + 51 + 7 + 6 + 68 + 480 + 0 + 0 + 0 = 666.

252517668480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5940).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 3556586879965 + ... + 3556586880035.

Almost surely, 2^{252517668480000} is an apocalyptic number.

252517668480000 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 252517668480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602632066484448).

252517668480000 is an abundant number, since it is smaller than the sum of its proper divisors (952746464488896).

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

252517668480000 is an frugal number, since it uses more digits than its factorization.

252517668480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 252517668480000 in words is "two hundred fifty-two trillion, five hundred seventeen billion, six hundred sixty-eight million, four hundred eighty thousand".