253753760260 has 576 divisors, whose sum is σ = 772021684224. Its totient is φ = 67787366400.

The previous prime is 253753760237. The next prime is 253753760261. The reversal of 253753760260 is 62067357352.

It is a self number, because there is not a number n which added to its sum of digits gives 253753760260.

It is not an unprimeable number, because it can be changed into a prime (253753760261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 367226515 + ... + 367227205.

It is an arithmetic number, because the mean of its divisors is an integer number (1340315424).

Almost surely, 2^253753760260 is an apocalyptic number.

253753760260 is a gapful number since it is divisible by the number (20) 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 253753760260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386010842112).

253753760260 is an abundant number, since it is smaller than the sum of its proper divisors (518267923964).

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

253753760260 is a wasteful number, since it uses less digits than its factorization.

253753760260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 46.

The spelling of 253753760260 in words is "two hundred fifty-three billion, seven hundred fifty-three million, seven hundred sixty thousand, two hundred sixty".