13257782560 has 192 divisors, whose sum is σ = 35334641664. Its totient is φ = 4659174400.

The previous prime is 13257782533. The next prime is 13257782579. The reversal of 13257782560 is 6528775231.

It is a self number, because there is not a number n which added to its sum of digits gives 13257782560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6864795 + ... + 6866725.

It is an arithmetic number, because the mean of its divisors is an integer number (184034592).

Almost surely, 2^13257782560 is an apocalyptic number.

13257782560 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 13257782560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17667320832).

13257782560 is an abundant number, since it is smaller than the sum of its proper divisors (22076859104).

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

13257782560 is a wasteful number, since it uses less digits than its factorization.

13257782560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 13257782560 in words is "thirteen billion, two hundred fifty-seven million, seven hundred eighty-two thousand, five hundred sixty".