13549964780160 has 384 divisors, whose sum is σ = 47128145688000. Its totient is φ = 3587274915840.

The previous prime is 13549964780117. The next prime is 13549964780221. The reversal of 13549964780160 is 6108746994531.

13549964780160 is a `hidden beast` number, since 1 + 3 + 5 + 499 + 6 + 4 + 7 + 80 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497068611 + ... + 497095869.

Almost surely, 2^{13549964780160} is an apocalyptic number.

13549964780160 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 13549964780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23564072844000).

13549964780160 is an abundant number, since it is smaller than the sum of its proper divisors (33578180907840).

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

13549964780160 is a wasteful number, since it uses less digits than its factorization.

13549964780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27904 (or 27889 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 13549964780160 in words is "thirteen trillion, five hundred forty-nine billion, nine hundred sixty-four million, seven hundred eighty thousand, one hundred sixty".