13091880960 has 300 divisors, whose sum is σ = 46959174108. Its totient is φ = 3489398784.

The previous prime is 13091880943. The next prime is 13091880983. The reversal of 13091880960 is 6908819031.

It can be written as a sum of positive squares in 2 ways, for example, as 3727835136 + 9364045824 = 61056^2 + 96768^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6634534 + ... + 6636506.

Almost surely, 2^13091880960 is an apocalyptic number.

13091880960 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 13091880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23479587054).

13091880960 is an abundant number, since it is smaller than the sum of its proper divisors (33867293148).

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

13091880960 is an frugal number, since it uses more digits than its factorization.

13091880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 13091880960 in words is "thirteen billion, ninety-one million, eight hundred eighty thousand, nine hundred sixty".