13476803977728 has 2560 divisors, whose sum is σ = 54336522240000. Its totient is φ = 3265710981120.

The previous prime is 13476803977619. The next prime is 13476803977733. The reversal of 13476803977728 is 82777930867431.

13476803977728 is a `hidden beast` number, since 1 + 3 + 4 + 76 + 80 + 397 + 77 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43333774693 + ... + 43333775003.

It is an arithmetic number, because the mean of its divisors is an integer number (21225204000).

Almost surely, 2^{13476803977728} is an apocalyptic number.

13476803977728 is a gapful number since it is divisible by the number (18) 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 13476803977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27168261120000).

13476803977728 is an abundant number, since it is smaller than the sum of its proper divisors (40859718262272).

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

13476803977728 is a wasteful number, since it uses less digits than its factorization.

13476803977728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 597445632, while the sum is 72.

The spelling of 13476803977728 in words is "thirteen trillion, four hundred seventy-six billion, eight hundred three million, nine hundred seventy-seven thousand, seven hundred twenty-eight".