252999452160 has 2560 divisors, whose sum is σ = 1220921856000. Its totient is φ = 48157949952.

The previous prime is 252999452159. The next prime is 252999452161. The reversal of 252999452160 is 61254999252.

252999452160 is a `hidden beast` number, since 2 + 5 + 29 + 9 + 9 + 452 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (252999452159) and next prime (252999452161).

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a junction number, because it is equal to n+sod(n) for n = 252999452097 and 252999452106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252999452161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3465745884 + ... + 3465745956.

It is an arithmetic number, because the mean of its divisors is an integer number (476922600).

Almost surely, 2^252999452160 is an apocalyptic number.

252999452160 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 252999452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610460928000).

252999452160 is an abundant number, since it is smaller than the sum of its proper divisors (967922403840).

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

252999452160 is a wasteful number, since it uses less digits than its factorization.

252999452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 252999452160 in words is "two hundred fifty-two billion, nine hundred ninety-nine million, four hundred fifty-two thousand, one hundred sixty".