252207970560 has 648 divisors, whose sum is σ = 1093195729080. Its totient is φ = 53211561984.

The previous prime is 252207970549. The next prime is 252207970561. The reversal of 252207970560 is 65079702252.

252207970560 is a `hidden beast` number, since 2 + 522 + 0 + 7 + 9 + 70 + 56 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48583213056 + 203624757504 = 220416^2 + 451248^2 .

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 (252207970561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7321056 + ... + 7355424.

Almost surely, 2^252207970560 is an apocalyptic number.

252207970560 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 252207970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546597864540).

252207970560 is an abundant number, since it is smaller than the sum of its proper divisors (840987758520).

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

252207970560 is a wasteful number, since it uses less digits than its factorization.

252207970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34423 (or 34399 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 252207970560 in words is "two hundred fifty-two billion, two hundred seven million, nine hundred seventy thousand, five hundred sixty".