252807223200 has 576 divisors, whose sum is σ = 984249004032. Its totient is φ = 55107993600.

The previous prime is 252807223199. The next prime is 252807223241. The reversal of 252807223200 is 2322708252.

It is a happy number.

It is a super-2 number, since 2×252807223200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167310445 + ... + 167311955.

It is an arithmetic number, because the mean of its divisors is an integer number (1708765632).

Almost surely, 2^252807223200 is an apocalyptic number.

252807223200 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 252807223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492124502016).

252807223200 is an abundant number, since it is smaller than the sum of its proper divisors (731441780832).

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

252807223200 is a wasteful number, since it uses less digits than its factorization.

252807223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 252807223200 in words is "two hundred fifty-two billion, eight hundred seven million, two hundred twenty-three thousand, two hundred".