13577378919 has 32 divisors (see below), whose sum is σ = 20304797184. Its totient is φ = 8014930560.

The previous prime is 13577378917. The next prime is 13577378921. The reversal of 13577378919 is 91987377531.

13577378919 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13577378917) and next prime (13577378921).

It is not a de Polignac number, because 13577378919 - 2¹ = 13577378917 is a prime.

It is a super-2 number, since 2×13577378919² (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 (13577378917) 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 31 ways as a sum of consecutive naturals, for example, 36192 + ... + 168714.

It is an arithmetic number, because the mean of its divisors is an integer number (634524912).

Almost surely, 2^13577378919 is an apocalyptic number.

13577378919 is a deficient number, since it is larger than the sum of its proper divisors (6727418265).

13577378919 is a wasteful number, since it uses less digits than its factorization.

13577378919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132647.

The product of its digits is 10001880, while the sum is 60.

The spelling of 13577378919 in words is "thirteen billion, five hundred seventy-seven million, three hundred seventy-eight thousand, nine hundred nineteen".