253554625728 has 224 divisors, whose sum is σ = 790704357120. Its totient is φ = 79400079360.

The previous prime is 253554625721. The next prime is 253554625741. The reversal of 253554625728 is 827526455352.

253554625728 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 5 + 4 + 62 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (253554625721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16531023 + ... + 16546353.

Almost surely, 2^253554625728 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 253554625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395352178560).

253554625728 is an abundant number, since it is smaller than the sum of its proper divisors (537149731392).

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

253554625728 is a wasteful number, since it uses less digits than its factorization.

253554625728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15932 (or 15916 counting only the distinct ones).

The product of its digits is 20160000, while the sum is 54.

The spelling of 253554625728 in words is "two hundred fifty-three billion, five hundred fifty-four million, six hundred twenty-five thousand, seven hundred twenty-eight".