252669001728 has 816 divisors, whose sum is σ = 859070791040. Its totient is φ = 65399685120.

The previous prime is 252669001723. The next prime is 252669001789. The reversal of 252669001728 is 827100966252.

252669001728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252669001723) 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, 5876023275 + ... + 5876023317.

Almost surely, 2^252669001728 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 252669001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429535395520).

252669001728 is an abundant number, since it is smaller than the sum of its proper divisors (606401789312).

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

252669001728 is a wasteful number, since it uses less digits than its factorization.

252669001728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 252669001728 in words is "two hundred fifty-two billion, six hundred sixty-nine million, one thousand, seven hundred twenty-eight".