252088552800 has 864 divisors, whose sum is σ = 1110492923904. Its totient is φ = 52475904000.

The previous prime is 252088552789. The next prime is 252088552801. The reversal of 252088552800 is 8255880252.

252088552800 is a `hidden beast` number, since 25 + 20 + 8 + 85 + 528 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252088552801) 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 143 ways as a sum of consecutive naturals, for example, 26556055 + ... + 26565545.

It is an arithmetic number, because the mean of its divisors is an integer number (1285292736).

Almost surely, 2^252088552800 is an apocalyptic number.

252088552800 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 252088552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555246461952).

252088552800 is an abundant number, since it is smaller than the sum of its proper divisors (858404371104).

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

252088552800 is a wasteful number, since it uses less digits than its factorization.

252088552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9572 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 252088552800 in words is "two hundred fifty-two billion, eighty-eight million, five hundred fifty-two thousand, eight hundred".