253866668352 has 112 divisors (see below), whose sum is σ = 734454273024. Its totient is φ = 76750528000.

The previous prime is 253866668329. The next prime is 253866668353.

253866668352 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253866668353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770827 + ... + 1049717.

Almost surely, 2^253866668352 is an apocalyptic number.

253866668352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253866668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367227136512).

253866668352 is an abundant number, since it is smaller than the sum of its proper divisors (480587604672).

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

253866668352 is a wasteful number, since it uses less digits than its factorization.

253866668352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279348 (or 279338 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 60.

The spelling of 253866668352 in words is "two hundred fifty-three billion, eight hundred sixty-six million, six hundred sixty-eight thousand, three hundred fifty-two".