252781652160 has 336 divisors, whose sum is σ = 894917866752. Its totient is φ = 65463552000.

The previous prime is 252781652141. The next prime is 252781652161. The reversal of 252781652160 is 61256187252.

252781652160 is a `hidden beast` number, since 2 + 5 + 278 + 165 + 216 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (252781652161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13690935 + ... + 13709385.

It is an arithmetic number, because the mean of its divisors is an integer number (2663446032).

Almost surely, 2^252781652160 is an apocalyptic number.

252781652160 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 252781652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447458933376).

252781652160 is an abundant number, since it is smaller than the sum of its proper divisors (642136214592).

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

252781652160 is a wasteful number, since it uses less digits than its factorization.

252781652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18612 (or 18599 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 252781652160 in words is "two hundred fifty-two billion, seven hundred eighty-one million, six hundred fifty-two thousand, one hundred sixty".