253942882272 has 120 divisors (see below), whose sum is σ = 753449026176. Its totient is φ = 83898436608.

The previous prime is 253942882253. The next prime is 253942882273. The reversal of 253942882272 is 272288249352.

253942882272 is a `hidden beast` number, since 2 + 5 + 3 + 94 + 288 + 2 + 272 = 666.

253942882272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253942882272² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253942882273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140608 + ... + 726399.

Almost surely, 2^253942882272 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 253942882272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376724513088).

253942882272 is an abundant number, since it is smaller than the sum of its proper divisors (499506143904).

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

253942882272 is a wasteful number, since it uses less digits than its factorization.

253942882272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867142 (or 867125 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

It can be divided in two parts, 25394 and 2882272, that added together give a triangular number (2907666 = T₂₄₁₁).

The spelling of 253942882272 in words is "two hundred fifty-three billion, nine hundred forty-two million, eight hundred eighty-two thousand, two hundred seventy-two".