13975578820 has 96 divisors (see below), whose sum is σ = 35339673600. Its totient is φ = 4535201664.

The previous prime is 13975578809. The next prime is 13975578871. The reversal of 13975578820 is 2887557931.

It is an unprimeable number.

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, 4209121 + ... + 4212439.

It is an arithmetic number, because the mean of its divisors is an integer number (368121600).

Almost surely, 2^13975578820 is an apocalyptic number.

13975578820 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 13975578820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17669836800).

13975578820 is an abundant number, since it is smaller than the sum of its proper divisors (21364094780).

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

13975578820 is a wasteful number, since it uses less digits than its factorization.

13975578820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 55.

The spelling of 13975578820 in words is "thirteen billion, nine hundred seventy-five million, five hundred seventy-eight thousand, eight hundred twenty".