13778980360704 has 960 divisors, whose sum is σ = 47049855283200. Its totient is φ = 3956978221056.

The previous prime is 13778980360669. The next prime is 13778980360801. The reversal of 13778980360704 is 40706308987731.

13778980360704 is a `hidden beast` number, since 13 + 7 + 7 + 8 + 9 + 8 + 0 + 3 + 607 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6595968492 + ... + 6595970580.

It is an arithmetic number, because the mean of its divisors is an integer number (49010265920).

Almost surely, 2^{13778980360704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13778980360704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23524927641600).

13778980360704 is an abundant number, since it is smaller than the sum of its proper divisors (33270874922496).

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

13778980360704 is a wasteful number, since it uses less digits than its factorization.

13778980360704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 13778980360704 in words is "thirteen trillion, seven hundred seventy-eight billion, nine hundred eighty million, three hundred sixty thousand, seven hundred four".