13305617280 has 640 divisors, whose sum is σ = 50047303680. Its totient is φ = 3365203968.

The previous prime is 13305617279. The next prime is 13305617357. The reversal of 13305617280 is 8271650331.

13305617280 is a `hidden beast` number, since 1 + 3 + 30 + 5 + 617 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104768577 + ... + 104768703.

It is an arithmetic number, because the mean of its divisors is an integer number (78198912).

Almost surely, 2^13305617280 is an apocalyptic number.

13305617280 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 13305617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25023651840).

13305617280 is an abundant number, since it is smaller than the sum of its proper divisors (36741686400).

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

13305617280 is a wasteful number, since it uses less digits than its factorization.

13305617280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13305617280 in words is "thirteen billion, three hundred five million, six hundred seventeen thousand, two hundred eighty".