252115344000 has 384 divisors, whose sum is σ = 975063332880. Its totient is φ = 62058700800.

The previous prime is 252115343983. The next prime is 252115344017. The reversal of 252115344000 is 443511252.

252115344000 is a `hidden beast` number, since 2 + 5 + 211 + 5 + 3 + 440 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (252115343983) and next prime (252115344017).

It can be written as a sum of positive squares in 8 ways, for example, as 9602432064 + 242512911936 = 97992^2 + 492456^2 .

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

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, 1804662 + ... + 1939338.

Almost surely, 2^252115344000 is an apocalyptic number.

252115344000 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 252115344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487531666440).

252115344000 is an abundant number, since it is smaller than the sum of its proper divisors (722947988880).

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

252115344000 is a wasteful number, since it uses less digits than its factorization.

252115344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134725 (or 134700 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 252115344000 its reverse (443511252), we get a palindrome (252558855252).

The spelling of 252115344000 in words is "two hundred fifty-two billion, one hundred fifteen million, three hundred forty-four thousand".