252378325693728 has 672 divisors, whose sum is σ = 837437879585664. Its totient is φ = 74253043408896.

The previous prime is 252378325693723. The next prime is 252378325693759. The reversal of 252378325693728 is 827396523873252.

252378325693728 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 7 + 8 + 3 + 2 + 569 + 37 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (252378325693723) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32385255400 + ... + 32385263192.

It is an arithmetic number, because the mean of its divisors is an integer number (1246187320812).

Almost surely, 2^{252378325693728} 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 252378325693728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418718939792832).

252378325693728 is an abundant number, since it is smaller than the sum of its proper divisors (585059553891936).

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

252378325693728 is a wasteful number, since it uses less digits than its factorization.

252378325693728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12500 (or 12477 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 252378325693728 in words is "two hundred fifty-two trillion, three hundred seventy-eight billion, three hundred twenty-five million, six hundred ninety-three thousand, seven hundred twenty-eight".