13009351968 has 72 divisors (see below), whose sum is σ = 37049450256. Its totient is φ = 4330108800.

The previous prime is 13009351961. The next prime is 13009351991. The reversal of 13009351968 is 86915390031.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13009351961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166323 + ... + 231693.

It is an arithmetic number, because the mean of its divisors is an integer number (514575698).

Almost surely, 2^13009351968 is an apocalyptic number.

13009351968 is a gapful number since it is divisible by the number (18) 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 13009351968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18524725128).

13009351968 is an abundant number, since it is smaller than the sum of its proper divisors (24040098288).

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

13009351968 is a wasteful number, since it uses less digits than its factorization.

13009351968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66078 (or 66067 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 13009351968 in words is "thirteen billion, nine million, three hundred fifty-one thousand, nine hundred sixty-eight".