13997729280 has 320 divisors, whose sum is σ = 49028379840. Its totient is φ = 3391094784.

The previous prime is 13997729261. The next prime is 13997729281. The reversal of 13997729280 is 8292779931.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 13997729280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13997729281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3784392 + ... + 3788088.

It is an arithmetic number, because the mean of its divisors is an integer number (153213687).

Almost surely, 2^13997729280 is an apocalyptic number.

13997729280 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 13997729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24514189920).

13997729280 is an abundant number, since it is smaller than the sum of its proper divisors (35030650560).

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

13997729280 is a wasteful number, since it uses less digits than its factorization.

13997729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 13997729280 in words is "thirteen billion, nine hundred ninety-seven million, seven hundred twenty-nine thousand, two hundred eighty".