13305190080 has 896 divisors, whose sum is σ = 57023447040. Its totient is φ = 2556887040.

The previous prime is 13305190069. The next prime is 13305190091. The reversal of 13305190080 is 8009150331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13305190069) and next prime (13305190091).

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 429199665 + ... + 429199695.

It is an arithmetic number, because the mean of its divisors is an integer number (63642240).

Almost surely, 2^13305190080 is an apocalyptic number.

13305190080 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 13305190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28511723520).

13305190080 is an abundant number, since it is smaller than the sum of its proper divisors (43718256960).

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

13305190080 is a wasteful number, since it uses less digits than its factorization.

13305190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 13305190080 in words is "thirteen billion, three hundred five million, one hundred ninety thousand, eighty".