252429333120 has 384 divisors, whose sum is σ = 916725962880. Its totient is φ = 66363494400.

The previous prime is 252429333109. The next prime is 252429333157. The reversal of 252429333120 is 21333924252.

252429333120 is a `hidden beast` number, since 2 + 52 + 4 + 293 + 3 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 11030490 + ... + 11053350.

It is an arithmetic number, because the mean of its divisors is an integer number (2387307195).

Almost surely, 2^252429333120 is an apocalyptic number.

252429333120 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 252429333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458362981440).

252429333120 is an abundant number, since it is smaller than the sum of its proper divisors (664296629760).

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

252429333120 is an equidigital number, since it uses as much as digits as its factorization.

252429333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22966 (or 22942 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 252429333120 in words is "two hundred fifty-two billion, four hundred twenty-nine million, three hundred thirty-three thousand, one hundred twenty".