252330405066000 has 800 divisors, whose sum is σ = 941230597671936. Its totient is φ = 65090304000000.

The previous prime is 252330405065957. The next prime is 252330405066053. The reversal of 252330405066000 is 660504033252.

252330405066000 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 3 + 0 + 40 + 5 + 0 + 6 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13825556875 + ... + 13825575125.

Almost surely, 2^{252330405066000} is an apocalyptic number.

252330405066000 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 252330405066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470615298835968).

252330405066000 is an abundant number, since it is smaller than the sum of its proper divisors (688900192605936).

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

252330405066000 is a wasteful number, since it uses less digits than its factorization.

252330405066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21070 (or 21045 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 252330405066000 its reverse (660504033252), we get a palindrome (252990909099252).

The spelling of 252330405066000 in words is "two hundred fifty-two trillion, three hundred thirty billion, four hundred five million, sixty-six thousand".