252973216800 has 576 divisors, whose sum is σ = 931159152000. Its totient is φ = 66273914880.

The previous prime is 252973216681. The next prime is 252973216807. The reversal of 252973216800 is 8612379252.

252973216800 is a `hidden beast` number, since 2 + 529 + 7 + 32 + 16 + 80 + 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 (252973216807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 327261214 + ... + 327261986.

It is an arithmetic number, because the mean of its divisors is an integer number (1616595750).

Almost surely, 2^252973216800 is an apocalyptic number.

252973216800 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 252973216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465579576000).

252973216800 is an abundant number, since it is smaller than the sum of its proper divisors (678185935200).

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

252973216800 is a wasteful number, since it uses less digits than its factorization.

252973216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 252973216800 in words is "two hundred fifty-two billion, nine hundred seventy-three million, two hundred sixteen thousand, eight hundred".