13516009920 has 896 divisors, whose sum is σ = 57585254400. Its totient is φ = 2956124160.

The previous prime is 13516009901. The next prime is 13516009931. The reversal of 13516009920 is 2990061531.

13516009920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 151865236 + ... + 151865324.

Almost surely, 2^13516009920 is an apocalyptic number.

13516009920 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 13516009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28792627200).

13516009920 is an abundant number, since it is smaller than the sum of its proper divisors (44069244480).

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

13516009920 is an frugal number, since it uses more digits than its factorization.

13516009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 13516009920 in words is "thirteen billion, five hundred sixteen million, nine thousand, nine hundred twenty".