13667996160 has 1280 divisors, whose sum is σ = 62366008320. Its totient is φ = 2760376320.

The previous prime is 13667996149. The next prime is 13667996183. The reversal of 13667996160 is 6169976631.

13667996160 is a `hidden beast` number, since 13 + 6 + 6 + 7 + 9 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 13667996097 and 13667996106.

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 127 ways as a sum of consecutive naturals, for example, 257886694 + ... + 257886746.

It is an arithmetic number, because the mean of its divisors is an integer number (48723444).

Almost surely, 2^13667996160 is an apocalyptic number.

13667996160 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 13667996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31183004160).

13667996160 is an abundant number, since it is smaller than the sum of its proper divisors (48698012160).

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

13667996160 is a wasteful number, since it uses less digits than its factorization.

13667996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 13667996160 in words is "thirteen billion, six hundred sixty-seven million, nine hundred ninety-six thousand, one hundred sixty".