13893172776 has 192 divisors, whose sum is σ = 43435941120. Its totient is φ = 3929748480.

The previous prime is 13893172739. The next prime is 13893172789. The reversal of 13893172776 is 67727139831.

13893172776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37246926 + ... + 37247298.

It is an arithmetic number, because the mean of its divisors is an integer number (226228860).

Almost surely, 2^13893172776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13893172776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21717970560).

13893172776 is an abundant number, since it is smaller than the sum of its proper divisors (29542768344).

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

13893172776 is a wasteful number, since it uses less digits than its factorization.

13893172776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 929 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 13893172776 in words is "thirteen billion, eight hundred ninety-three million, one hundred seventy-two thousand, seven hundred seventy-six".