11678264266160 has 40 divisors (see below), whose sum is σ = 27152147995056. Its totient is φ = 4671274123520.

The previous prime is 11678264266157. The next prime is 11678264266211. The reversal of 11678264266160 is 6166246287611.

It is a happy number.

11678264266160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11678264266160² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11678264266096 and 11678264266105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14089655 + ... + 14895465.

Almost surely, 2^{11678264266160} is an apocalyptic number.

11678264266160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11678264266160 is an abundant number, since it is smaller than the sum of its proper divisors (15473883728896).

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

11678264266160 is a wasteful number, since it uses less digits than its factorization.

11678264266160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986981 (or 986975 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 11678264266160 in words is "eleven trillion, six hundred seventy-eight billion, two hundred sixty-four million, two hundred sixty-six thousand, one hundred sixty".