252123454013200 has 720 divisors, whose sum is σ = 768882467761408. Its totient is φ = 77762032128000.

The previous prime is 252123454013173. The next prime is 252123454013293. The reversal of 252123454013200 is 2310454321252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77504902774 + ... + 77504906026.

Almost surely, 2^{252123454013200} is an apocalyptic number.

252123454013200 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 252123454013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384441233880704).

252123454013200 is an abundant number, since it is smaller than the sum of its proper divisors (516759013748208).

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

252123454013200 is a wasteful number, since it uses less digits than its factorization.

252123454013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 252123454013200 in words is "two hundred fifty-two trillion, one hundred twenty-three billion, four hundred fifty-four million, thirteen thousand, two hundred".