253026442116 has 240 divisors, whose sum is σ = 797872373760. Its totient is φ = 68305083840.

The previous prime is 253026442049. The next prime is 253026442127. The reversal of 253026442116 is 611244620352.

253026442116 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 2 + 644 + 2 + 1 + 1 + 6 = 666.

253026442116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 16496571 + ... + 16511901.

It is an arithmetic number, because the mean of its divisors is an integer number (3324468224).

Almost surely, 2^253026442116 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 253026442116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398936186880).

253026442116 is an abundant number, since it is smaller than the sum of its proper divisors (544845931644).

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

253026442116 is a wasteful number, since it uses less digits than its factorization.

253026442116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15756 (or 15745 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 253026442116 in words is "two hundred fifty-three billion, twenty-six million, four hundred forty-two thousand, one hundred sixteen".