13305458880 has 336 divisors, whose sum is σ = 53025470784. Its totient is φ = 2999255040.

The previous prime is 13305458857. The next prime is 13305458921. The reversal of 13305458880 is 8885450331.

13305458880 is a `hidden beast` number, since 13 + 3 + 0 + 54 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1467160 + ... + 1476200.

Almost surely, 2^13305458880 is an apocalyptic number.

13305458880 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 13305458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26512735392).

13305458880 is an abundant number, since it is smaller than the sum of its proper divisors (39720011904).

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

13305458880 is a wasteful number, since it uses less digits than its factorization.

13305458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144 (or 9131 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 13305458880 in words is "thirteen billion, three hundred five million, four hundred fifty-eight thousand, eight hundred eighty".