13504942080 has 520 divisors, whose sum is σ = 55375353792. Its totient is φ = 3084189696.

The previous prime is 13504942063. The next prime is 13504942081. The reversal of 13504942080 is 8024940531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13504942081) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 11611579 + ... + 11612741.

Almost surely, 2^13504942080 is an apocalyptic number.

13504942080 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 13504942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27687676896).

13504942080 is an abundant number, since it is smaller than the sum of its proper divisors (41870411712).

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

13504942080 is an equidigital number, since it uses as much as digits as its factorization.

13504942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13504942080 in words is "thirteen billion, five hundred four million, nine hundred forty-two thousand, eighty".