13794271920 has 1280 divisors, whose sum is σ = 61556060160. Its totient is φ = 2786918400.

The previous prime is 13794271913. The next prime is 13794271943. The reversal of 13794271920 is 2917249731.

13794271920 is a `hidden beast` number, since 1 + 37 + 9 + 427 + 192 + 0 = 666.

13794271920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 194285485 + ... + 194285555.

It is an arithmetic number, because the mean of its divisors is an integer number (48090672).

Almost surely, 2^13794271920 is an apocalyptic number.

13794271920 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 13794271920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30778030080).

13794271920 is an abundant number, since it is smaller than the sum of its proper divisors (47761788240).

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

13794271920 is a wasteful number, since it uses less digits than its factorization.

13794271920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 13794271920 in words is "thirteen billion, seven hundred ninety-four million, two hundred seventy-one thousand, nine hundred twenty".