13365259680 has 288 divisors, whose sum is σ = 44836835904. Its totient is φ = 3345887232.

The previous prime is 13365259657. The next prime is 13365259717. The reversal of 13365259680 is 8695256331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23739079 + ... + 23739641.

It is an arithmetic number, because the mean of its divisors is an integer number (155683458).

Almost surely, 2^13365259680 is an apocalyptic number.

13365259680 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 13365259680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22418417952).

13365259680 is an abundant number, since it is smaller than the sum of its proper divisors (31471576224).

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

13365259680 is a wasteful number, since it uses less digits than its factorization.

13365259680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 13365259680 in words is "thirteen billion, three hundred sixty-five million, two hundred fifty-nine thousand, six hundred eighty".