13982827320 has 768 divisors, whose sum is σ = 60383232000. Its totient is φ = 2718489600.

The previous prime is 13982827319. The next prime is 13982827337. The reversal of 13982827320 is 2372828931.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73208425 + ... + 73208615.

It is an arithmetic number, because the mean of its divisors is an integer number (78624000).

Almost surely, 2^13982827320 is an apocalyptic number.

13982827320 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 13982827320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191616000).

13982827320 is an abundant number, since it is smaller than the sum of its proper divisors (46400404680).

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

13982827320 is a wasteful number, since it uses less digits than its factorization.

13982827320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13982827320 in words is "thirteen billion, nine hundred eighty-two million, eight hundred twenty-seven thousand, three hundred twenty".