13576027984 has 20 divisors (see below), whose sum is σ = 27210574260. Its totient is φ = 6553944320.

The previous prime is 13576027937. The next prime is 13576027987. The reversal of 13576027984 is 48972067531.

13576027984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6347627584 + 7228400400 = 79672^2 + 85020^2 .

It is a super-2 number, since 2×13576027984² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13576027987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14628877 + ... + 14629804.

It is an arithmetic number, because the mean of its divisors is an integer number (1360528713).

It is a 1-persistent number, because it is pandigital, but 2⋅13576027984 = 27152055968 is not.

Almost surely, 2^13576027984 is an apocalyptic number.

It is an amenable number.

13576027984 is an abundant number, since it is smaller than the sum of its proper divisors (13634546276).

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

13576027984 is a wasteful number, since it uses less digits than its factorization.

13576027984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29258718 (or 29258712 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 13576027984 in words is "thirteen billion, five hundred seventy-six million, twenty-seven thousand, nine hundred eighty-four".