253163061279744 has 352 divisors, whose sum is σ = 844145477392896. Its totient is φ = 65532195962880.

The previous prime is 253163061279637. The next prime is 253163061279749. The reversal of 253163061279744 is 447972160361352.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253163061279749) 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 31 ways as a sum of consecutive naturals, for example, 67481014 + ... + 71133770.

Almost surely, 2^{253163061279744} is an apocalyptic number.

253163061279744 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 253163061279744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422072738696448).

253163061279744 is an abundant number, since it is smaller than the sum of its proper divisors (590982416113152).

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

253163061279744 is a wasteful number, since it uses less digits than its factorization.

253163061279744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653091 (or 3653073 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 253163061279744 in words is "two hundred fifty-three trillion, one hundred sixty-three billion, sixty-one million, two hundred seventy-nine thousand, seven hundred forty-four".