252204840000 has 945 divisors, whose sum is σ = 969266572131. Its totient is φ = 65085120000.

The previous prime is 252204839987. The next prime is 252204840037. The reversal of 252204840000 is 48402252.

It is a happy number.

The square root of 252204840000 is 502200.

It is a perfect power (a square), and thus also a powerful number.

252204840000 is a `hidden beast` number, since 2 + 52 + 204 + 8 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19772859456 + 232431980544 = 140616^2 + 482112^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8135639985 + ... + 8135640015.

Almost surely, 2^252204840000 is an apocalyptic number.

252204840000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

252204840000 is the 502200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252204840000

252204840000 is an abundant number, since it is smaller than the sum of its proper divisors (717061732131).

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

252204840000 is an frugal number, since it uses more digits than its factorization.

252204840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 252204840000 in words is "two hundred fifty-two billion, two hundred four million, eight hundred forty thousand".