13393979280 has 240 divisors, whose sum is σ = 50398006464. Its totient is φ = 3159198720.

The previous prime is 13393979273. The next prime is 13393979281. The reversal of 13393979280 is 8297939331.

13393979280 is a `hidden beast` number, since 1 + 3 + 393 + 97 + 92 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 not an unprimeable number, because it can be changed into a prime (13393979281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270187 + ... + 315893.

Almost surely, 2^13393979280 is an apocalyptic number.

13393979280 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 13393979280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25199003232).

13393979280 is an abundant number, since it is smaller than the sum of its proper divisors (37004027184).

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

13393979280 is a wasteful number, since it uses less digits than its factorization.

13393979280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45774 (or 45765 counting only the distinct ones).

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

The spelling of 13393979280 in words is "thirteen billion, three hundred ninety-three million, nine hundred seventy-nine thousand, two hundred eighty".