253365205104 has 240 divisors, whose sum is σ = 790305310080. Its totient is φ = 75120514560.

The previous prime is 253365205099. The next prime is 253365205111. The reversal of 253365205104 is 401502563352.

253365205104 is a `hidden beast` number, since 2 + 53 + 36 + 520 + 51 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31813827 + ... + 31821789.

It is an arithmetic number, because the mean of its divisors is an integer number (3292938792).

Almost surely, 2^253365205104 is an apocalyptic number.

253365205104 is a gapful number since it is divisible by the number (24) 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 253365205104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395152655040).

253365205104 is an abundant number, since it is smaller than the sum of its proper divisors (536940104976).

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

253365205104 is a wasteful number, since it uses less digits than its factorization.

253365205104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 253365205104 its reverse (401502563352), we get a palindrome (654867768456).

The spelling of 253365205104 in words is "two hundred fifty-three billion, three hundred sixty-five million, two hundred five thousand, one hundred four".