253611122688 has 448 divisors, whose sum is σ = 936866442240. Its totient is φ = 65868595200.

The previous prime is 253611122669. The next prime is 253611122707. The reversal of 253611122688 is 886221116352.

253611122688 is a `hidden beast` number, since 2 + 5 + 3 + 611 + 1 + 2 + 26 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (253611122669) and next prime (253611122707).

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17023723 + ... + 17038613.

Almost surely, 2^253611122688 is an apocalyptic number.

253611122688 is a gapful number since it is divisible by the number (28) 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 253611122688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468433221120).

253611122688 is an abundant number, since it is smaller than the sum of its proper divisors (683255319552).

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

253611122688 is a wasteful number, since it uses less digits than its factorization.

253611122688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14944 (or 14914 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 253611122688 in words is "two hundred fifty-three billion, six hundred eleven million, one hundred twenty-two thousand, six hundred eighty-eight".