12813958080 has 1344 divisors, whose sum is σ = 60710307840. Its totient is φ = 2481684480.

The previous prime is 12813958061. The next prime is 12813958081. The reversal of 12813958080 is 8085931821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12813958081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124407309 + ... + 124407411.

It is an arithmetic number, because the mean of its divisors is an integer number (45171360).

Almost surely, 2^12813958080 is an apocalyptic number.

12813958080 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 12813958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30355153920).

12813958080 is an abundant number, since it is smaller than the sum of its proper divisors (47896349760).

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

12813958080 is a wasteful number, since it uses less digits than its factorization.

12813958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 12813958080 in words is "twelve billion, eight hundred thirteen million, nine hundred fifty-eight thousand, eighty".