13987528960 has 72 divisors (see below), whose sum is σ = 33541353216. Its totient is φ = 5588858880.

The previous prime is 13987528939. The next prime is 13987528969. The reversal of 13987528960 is 6982578931.

It is a junction number, because it is equal to n+sod(n) for n = 13987528895 and 13987528904.

It is not an unprimeable number, because it can be changed into a prime (13987528969) 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 7 ways as a sum of consecutive naturals, for example, 1262967 + ... + 1273993.

It is an arithmetic number, because the mean of its divisors is an integer number (465852128).

Almost surely, 2^13987528960 is an apocalyptic number.

13987528960 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 13987528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16770676608).

13987528960 is an abundant number, since it is smaller than the sum of its proper divisors (19553824256).

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

13987528960 is an equidigital number, since it uses as much as digits as its factorization.

13987528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12039 (or 12025 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 13987528960 in words is "thirteen billion, nine hundred eighty-seven million, five hundred twenty-eight thousand, nine hundred sixty".