252190407168 has 240 divisors, whose sum is σ = 849518841600. Its totient is φ = 70520905728.

The previous prime is 252190407163. The next prime is 252190407307. The reversal of 252190407168 is 861704091252.

252190407168 is a `hidden beast` number, since 2 + 52 + 190 + 407 + 1 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (252190407163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432858 + ... + 1599206.

It is an arithmetic number, because the mean of its divisors is an integer number (3539661840).

Almost surely, 2^252190407168 is an apocalyptic number.

252190407168 is a gapful number since it is divisible by the number (28) 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 252190407168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424759420800).

252190407168 is an abundant number, since it is smaller than the sum of its proper divisors (597328434432).

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

252190407168 is a wasteful number, since it uses less digits than its factorization.

252190407168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166427 (or 166408 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 252190407168 in words is "two hundred fifty-two billion, one hundred ninety million, four hundred seven thousand, one hundred sixty-eight".