253889405952 has 528 divisors, whose sum is σ = 884759121792. Its totient is φ = 64037191680.

The previous prime is 253889405921. The next prime is 253889405953. The reversal of 253889405952 is 259504988352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253889405953) 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, 45005052 + ... + 45010692.

Almost surely, 2^253889405952 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 253889405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442379560896).

253889405952 is an abundant number, since it is smaller than the sum of its proper divisors (630869715840).

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

253889405952 is a wasteful number, since it uses less digits than its factorization.

253889405952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 60.

The spelling of 253889405952 in words is "two hundred fifty-three billion, eight hundred eighty-nine million, four hundred five thousand, nine hundred fifty-two".