13692803604480 has 6720 divisors, whose sum is σ = 72894399621120. Its totient is φ = 2407897497600.

The previous prime is 13692803604479. The next prime is 13692803604497. The reversal of 13692803604480 is 8440630829631.

13692803604480 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 28 + 0 + 3 + 604 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 441703342065 + ... + 441703342095.

It is an arithmetic number, because the mean of its divisors is an integer number (10847380896).

Almost surely, 2^{13692803604480} is an apocalyptic number.

13692803604480 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 13692803604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36447199810560).

13692803604480 is an abundant number, since it is smaller than the sum of its proper divisors (59201596016640).

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

13692803604480 is a wasteful number, since it uses less digits than its factorization.

13692803604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 13692803604480 in words is "thirteen trillion, six hundred ninety-two billion, eight hundred three million, six hundred four thousand, four hundred eighty".