253451160160 has 96 divisors (see below), whose sum is σ = 654114569472. Its totient is φ = 92036820480.

The previous prime is 253451160103. The next prime is 253451160163. The reversal of 253451160160 is 61061154352.

253451160160 is nontrivially palindromic in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253451160163) 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, 1180479 + ... + 1378561.

It is an arithmetic number, because the mean of its divisors is an integer number (6813693432).

Almost surely, 2^253451160160 is an apocalyptic number.

253451160160 is a gapful number since it is divisible by the number (20) 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 253451160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327057284736).

253451160160 is an abundant number, since it is smaller than the sum of its proper divisors (400663409312).

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

253451160160 is a wasteful number, since it uses less digits than its factorization.

253451160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198836 (or 198828 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 253451160160 in words is "two hundred fifty-three billion, four hundred fifty-one million, one hundred sixty thousand, one hundred sixty".