252468216000 has 2688 divisors, whose sum is σ = 1262774403072. Its totient is φ = 46448640000.

The previous prime is 252468215999. The next prime is 252468216001. The reversal of 252468216000 is 612864252.

It is a happy number.

252468216000 is a `hidden beast` number, since 2 + 5 + 2 + 46 + 8 + 2 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (252468215999) and next prime (252468216001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252468216001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2234231944 + ... + 2234232056.

It is an arithmetic number, because the mean of its divisors is an integer number (469782144).

Almost surely, 2^252468216000 is an apocalyptic number.

252468216000 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 252468216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631387201536).

252468216000 is an abundant number, since it is smaller than the sum of its proper divisors (1010306187072).

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

252468216000 is a wasteful number, since it uses less digits than its factorization.

252468216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 252468216000 in words is "two hundred fifty-two billion, four hundred sixty-eight million, two hundred sixteen thousand".