13728397580 has 48 divisors (see below), whose sum is σ = 30517391520. Its totient is φ = 5178690048.

The previous prime is 13728397577. The next prime is 13728397597. The reversal of 13728397580 is 8579382731.

13728397580 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×13728397580² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250289 + ... + 300168.

It is an arithmetic number, because the mean of its divisors is an integer number (635778990).

Almost surely, 2^13728397580 is an apocalyptic number.

13728397580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13728397580 is an abundant number, since it is smaller than the sum of its proper divisors (16788993940).

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

13728397580 is a wasteful number, since it uses less digits than its factorization.

13728397580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550538 (or 550536 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 13728397580 in words is "thirteen billion, seven hundred twenty-eight million, three hundred ninety-seven thousand, five hundred eighty".