252569303280 has 1280 divisors, whose sum is σ = 1125185126400. Its totient is φ = 50721914880.

The previous prime is 252569303257. The next prime is 252569303299. The reversal of 252569303280 is 82303965252.

252569303280 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 69 + 303 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 231078414 + ... + 231079506.

It is an arithmetic number, because the mean of its divisors is an integer number (879050880).

Almost surely, 2^252569303280 is an apocalyptic number.

252569303280 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 252569303280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562592563200).

252569303280 is an abundant number, since it is smaller than the sum of its proper divisors (872615823120).

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

252569303280 is a wasteful number, since it uses less digits than its factorization.

252569303280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 252569303280 in words is "two hundred fifty-two billion, five hundred sixty-nine million, three hundred three thousand, two hundred eighty".