13278260741760 has 1792 divisors, whose sum is σ = 57852136742400. Its totient is φ = 2843612282880.

The previous prime is 13278260741737. The next prime is 13278260741789. The reversal of 13278260741760 is 6714706287231.

13278260741760 is a `hidden beast` number, since 1 + 3 + 27 + 8 + 2 + 607 + 4 + 1 + 7 + 6 + 0 = 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 = 13278260741697 and 13278260741706.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 17266918656 + ... + 17266919424.

It is an arithmetic number, because the mean of its divisors is an integer number (32283558450).

Almost surely, 2^{13278260741760} is an apocalyptic number.

13278260741760 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 13278260741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28926068371200).

13278260741760 is an abundant number, since it is smaller than the sum of its proper divisors (44573876000640).

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

13278260741760 is an equidigital number, since it uses as much as digits as its factorization.

13278260741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 13278260741760 in words is "thirteen trillion, two hundred seventy-eight billion, two hundred sixty million, seven hundred forty-one thousand, seven hundred sixty".