252060161472 has 336 divisors, whose sum is σ = 907365216000. Its totient is φ = 68226375168.

The previous prime is 252060161447. The next prime is 252060161477. The reversal of 252060161472 is 274161060252.

It is a happy number.

252060161472 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 601 + 6 + 1 + 47 + 2 = 666.

252060161472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252060161477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1530429 + ... + 1687107.

Almost surely, 2^252060161472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252060161472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453682608000).

252060161472 is an abundant number, since it is smaller than the sum of its proper divisors (655305054528).

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

252060161472 is a wasteful number, since it uses less digits than its factorization.

252060161472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156733 (or 156710 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 252060161472 in words is "two hundred fifty-two billion, sixty million, one hundred sixty-one thousand, four hundred seventy-two".