13427778768768 has 320 divisors, whose sum is σ = 49182590577120. Its totient is φ = 3541391953920.

The previous prime is 13427778768727. The next prime is 13427778768779. The reversal of 13427778768768 is 86786787772431.

13427778768768 is a `hidden beast` number, since 1 + 3 + 427 + 7 + 78 + 7 + 68 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6172543 + ... + 8059518.

Almost surely, 2^{13427778768768} is an apocalyptic number.

13427778768768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13427778768768 is an abundant number, since it is smaller than the sum of its proper divisors (35754811808352).

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

13427778768768 is a wasteful number, since it uses less digits than its factorization.

13427778768768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14232107 (or 14232086 counting only the distinct ones).

The product of its digits is 7434878976, while the sum is 81.

The spelling of 13427778768768 in words is "thirteen trillion, four hundred twenty-seven billion, seven hundred seventy-eight million, seven hundred sixty-eight thousand, seven hundred sixty-eight".