13205364480 has 432 divisors, whose sum is σ = 56966966784. Its totient is φ = 2743787520.

The previous prime is 13205364461. The next prime is 13205364539. The reversal of 13205364480 is 8446350231.

13205364480 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 5 + 3 + 644 + 8 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 879597 + ... + 894483.

Almost surely, 2^13205364480 is an apocalyptic number.

13205364480 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 13205364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28483483392).

13205364480 is an abundant number, since it is smaller than the sum of its proper divisors (43761602304).

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

13205364480 is a wasteful number, since it uses less digits than its factorization.

13205364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14932 (or 14915 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13205364480 in words is "thirteen billion, two hundred five million, three hundred sixty-four thousand, four hundred eighty".