13091064480 has 720 divisors, whose sum is σ = 51559532640. Its totient is φ = 3124832256.

The previous prime is 13091064473. The next prime is 13091064487. The reversal of 13091064480 is 8446019031.

13091064480 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 1 + 0 + 644 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13091064473) and next prime (13091064487).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13091064487) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 94180251 + ... + 94180389.

It is an arithmetic number, because the mean of its divisors is an integer number (71610462).

Almost surely, 2^13091064480 is an apocalyptic number.

13091064480 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 13091064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779766320).

13091064480 is an abundant number, since it is smaller than the sum of its proper divisors (38468468160).

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

13091064480 is a wasteful number, since it uses less digits than its factorization.

13091064480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13091064480 in words is "thirteen billion, ninety-one million, sixty-four thousand, four hundred eighty".