13149726965760 has 576 divisors, whose sum is σ = 52462691172864. Its totient is φ = 2732379340800.

The previous prime is 13149726965719. The next prime is 13149726965801. The reversal of 13149726965760 is 6756962794131.

It is an interprime number because it is at equal distance from previous prime (13149726965719) and next prime (13149726965801).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 13149726965691 and 13149726965700.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 151344730 + ... + 151431590.

It is an arithmetic number, because the mean of its divisors is an integer number (91081061064).

Almost surely, 2^{13149726965760} is an apocalyptic number.

13149726965760 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 13149726965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26231345586432).

13149726965760 is an abundant number, since it is smaller than the sum of its proper divisors (39312964207104).

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

13149726965760 is an frugal number, since it uses more digits than its factorization.

13149726965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86921 (or 86889 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 66.

The spelling of 13149726965760 in words is "thirteen trillion, one hundred forty-nine billion, seven hundred twenty-six million, nine hundred sixty-five thousand, seven hundred sixty".