13159723200 has 336 divisors, whose sum is σ = 48002927616. Its totient is φ = 3134361600.

The previous prime is 13159723147. The next prime is 13159723207. The reversal of 13159723200 is 232795131.

It is not an unprimeable number, because it can be changed into a prime (13159723207) 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 47 ways as a sum of consecutive naturals, for example, 1930999 + ... + 1937801.

It is an arithmetic number, because the mean of its divisors is an integer number (142865856).

Almost surely, 2^13159723200 is an apocalyptic number.

13159723200 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 13159723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24001463808).

13159723200 is an abundant number, since it is smaller than the sum of its proper divisors (34843204416).

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

13159723200 is a wasteful number, since it uses less digits than its factorization.

13159723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 13159723200 in words is "thirteen billion, one hundred fifty-nine million, seven hundred twenty-three thousand, two hundred".