252220428800 has 270 divisors, whose sum is σ = 656648712027. Its totient is φ = 96001720320.

The previous prime is 252220428793. The next prime is 252220428829. The reversal of 252220428800 is 8824022252.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 33450946816 + 218769481984 = 182896^2 + 467728^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=355120.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1306841504 + ... + 1306841696.

Almost surely, 2^252220428800 is an apocalyptic number.

252220428800 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 252220428800

252220428800 is an abundant number, since it is smaller than the sum of its proper divisors (404428283227).

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

252220428800 is an frugal number, since it uses more digits than its factorization.

252220428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The spelling of 252220428800 in words is "two hundred fifty-two billion, two hundred twenty million, four hundred twenty-eight thousand, eight hundred".