13485391920 has 1440 divisors, whose sum is σ = 64750230720. Its totient is φ = 2586608640.

The previous prime is 13485391919. The next prime is 13485391937. The reversal of 13485391920 is 2919358431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1037337834 + ... + 1037337846.

It is an arithmetic number, because the mean of its divisors is an integer number (44965438).

Almost surely, 2^13485391920 is an apocalyptic number.

13485391920 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 13485391920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32375115360).

13485391920 is an abundant number, since it is smaller than the sum of its proper divisors (51264838800).

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

13485391920 is a wasteful number, since it uses less digits than its factorization.

13485391920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 13485391920 in words is "thirteen billion, four hundred eighty-five million, three hundred ninety-one thousand, nine hundred twenty".