13261038694560 has 2304 divisors, whose sum is σ = 53377743605760. Its totient is φ = 3068264448000.

The previous prime is 13261038694537. The next prime is 13261038694649. The reversal of 13261038694560 is 6549683016231.

13261038694560 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 10 + 3 + 8 + 69 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13261038694497 and 13261038694506.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 96795902812 + ... + 96795902948.

It is an arithmetic number, because the mean of its divisors is an integer number (23167423440).

Almost surely, 2^{13261038694560} is an apocalyptic number.

13261038694560 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 13261038694560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26688871802880).

13261038694560 is an abundant number, since it is smaller than the sum of its proper divisors (40116704911200).

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

13261038694560 is a wasteful number, since it uses less digits than its factorization.

13261038694560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13261038694560 in words is "thirteen trillion, two hundred sixty-one billion, thirty-eight million, six hundred ninety-four thousand, five hundred sixty".