13359720000 has 560 divisors, whose sum is σ = 49990248000. Its totient is φ = 3118080000.

The previous prime is 13359719987. The next prime is 13359720001. The reversal of 13359720000 is 2795331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 13359720000.

It is not an unprimeable number, because it can be changed into a prime (13359720001) 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 79 ways as a sum of consecutive naturals, for example, 38279826 + ... + 38280174.

It is an arithmetic number, because the mean of its divisors is an integer number (89268300).

Almost surely, 2^13359720000 is an apocalyptic number.

13359720000 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 13359720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24995124000).

13359720000 is an abundant number, since it is smaller than the sum of its proper divisors (36630528000).

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

13359720000 is a wasteful number, since it uses less digits than its factorization.

13359720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The spelling of 13359720000 in words is "thirteen billion, three hundred fifty-nine million, seven hundred twenty thousand".