252552429360 has 1920 divisors, whose sum is σ = 1162218946560. Its totient is φ = 49268736000.

The previous prime is 252552429359. The next prime is 252552429383. The reversal of 252552429360 is 63924255252.

252552429360 is a `hidden beast` number, since 2 + 5 + 2 + 552 + 4 + 2 + 93 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3459622284 + ... + 3459622356.

It is an arithmetic number, because the mean of its divisors is an integer number (605322368).

Almost surely, 2^252552429360 is an apocalyptic number.

252552429360 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 252552429360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581109473280).

252552429360 is an abundant number, since it is smaller than the sum of its proper divisors (909666517200).

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

252552429360 is a wasteful number, since it uses less digits than its factorization.

252552429360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 252552429360 in words is "two hundred fifty-two billion, five hundred fifty-two million, four hundred twenty-nine thousand, three hundred sixty".