253759561068 has 192 divisors, whose sum is σ = 735206976000. Its totient is φ = 67218149376.

The previous prime is 253759561061. The next prime is 253759561073. The reversal of 253759561068 is 860165957352.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 253759560999 and 253759561017.

It is not an unprimeable number, because it can be changed into a prime (253759561061) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1374423 + ... + 1548081.

It is an arithmetic number, because the mean of its divisors is an integer number (3829203000).

Almost surely, 2^253759561068 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 253759561068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367603488000).

253759561068 is an abundant number, since it is smaller than the sum of its proper divisors (481447414932).

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

253759561068 is a wasteful number, since it uses less digits than its factorization.

253759561068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173744 (or 173742 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 253759561068 in words is "two hundred fifty-three billion, seven hundred fifty-nine million, five hundred sixty-one thousand, sixty-eight".