13766834780160 has 2304 divisors, whose sum is σ = 59959077534720. Its totient is φ = 2659587194880.

The previous prime is 13766834780113. The next prime is 13766834780201. The reversal of 13766834780160 is 6108743866731.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 13766834780094 and 13766834780103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14090925592 + ... + 14090926568.

It is an arithmetic number, because the mean of its divisors is an integer number (26023905180).

Almost surely, 2^{13766834780160} is an apocalyptic number.

13766834780160 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 13766834780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29979538767360).

13766834780160 is an abundant number, since it is smaller than the sum of its proper divisors (46192242754560).

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

13766834780160 is a wasteful number, since it uses less digits than its factorization.

13766834780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 13766834780160 in words is "thirteen trillion, seven hundred sixty-six billion, eight hundred thirty-four million, seven hundred eighty thousand, one hundred sixty".