13059830784 has 704 divisors, whose sum is σ = 48596631552. Its totient is φ = 3008102400.

The previous prime is 13059830731. The next prime is 13059830801. The reversal of 13059830784 is 48703895031.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95327164 + ... + 95327300.

Almost surely, 2^13059830784 is an apocalyptic number.

13059830784 is a gapful number since it is divisible by the number (14) 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 13059830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24298315776).

13059830784 is an abundant number, since it is smaller than the sum of its proper divisors (35536800768).

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

13059830784 is a wasteful number, since it uses less digits than its factorization.

13059830784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 13059830784 in words is "thirteen billion, fifty-nine million, eight hundred thirty thousand, seven hundred eighty-four".