13456586920 has 128 divisors (see below), whose sum is σ = 35655552000. Its totient is φ = 4475068416.

The previous prime is 13456586893. The next prime is 13456586921. The reversal of 13456586920 is 2968565431.

It is not an unprimeable number, because it can be changed into a prime (13456586921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1482556 + ... + 1491604.

It is an arithmetic number, because the mean of its divisors is an integer number (278559000).

Almost surely, 2^13456586920 is an apocalyptic number.

13456586920 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 13456586920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17827776000).

13456586920 is an abundant number, since it is smaller than the sum of its proper divisors (22198965080).

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

13456586920 is a wasteful number, since it uses less digits than its factorization.

13456586920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9227 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 13456586920 in words is "thirteen billion, four hundred fifty-six million, five hundred eighty-six thousand, nine hundred twenty".