252850066560 has 2880 divisors, whose sum is σ = 1235898259200. Its totient is φ = 48910417920.

The previous prime is 252850066537. The next prime is 252850066583. The reversal of 252850066560 is 65660058252.

252850066560 is a `hidden beast` number, since 2 + 5 + 2 + 85 + 0 + 0 + 6 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (252850066537) and next prime (252850066583).

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 8156453745 + ... + 8156453775.

It is an arithmetic number, because the mean of its divisors is an integer number (429131340).

Almost surely, 2^252850066560 is an apocalyptic number.

252850066560 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 252850066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617949129600).

252850066560 is an abundant number, since it is smaller than the sum of its proper divisors (983048192640).

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

252850066560 is a wasteful number, since it uses less digits than its factorization.

252850066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 252850066560 in words is "two hundred fifty-two billion, eight hundred fifty million, sixty-six thousand, five hundred sixty".