13268757840 has 480 divisors, whose sum is σ = 46662013440. Its totient is φ = 3115008000.

The previous prime is 13268757833. The next prime is 13268757847. The reversal of 13268757840 is 4875786231.

It is an interprime number because it is at equal distance from previous prime (13268757833) and next prime (13268757847).

It is a super-2 number, since 2×13268757840² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13268757847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131373790 + ... + 131373890.

It is an arithmetic number, because the mean of its divisors is an integer number (97212528).

Almost surely, 2^13268757840 is an apocalyptic number.

13268757840 is a gapful number since it is divisible by the number (10) 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 13268757840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23331006720).

13268757840 is an abundant number, since it is smaller than the sum of its proper divisors (33393255600).

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

13268757840 is a wasteful number, since it uses less digits than its factorization.

13268757840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 13268757840 in words is "thirteen billion, two hundred sixty-eight million, seven hundred fifty-seven thousand, eight hundred forty".