13059679680 has 224 divisors, whose sum is σ = 48075494400. Its totient is φ = 3331113984.

The previous prime is 13059679663. The next prime is 13059679687. The reversal of 13059679680 is 8697695031.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13059679687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165861 + ... + 231579.

Almost surely, 2^13059679680 is an apocalyptic number.

13059679680 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 13059679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24037747200).

13059679680 is an abundant number, since it is smaller than the sum of its proper divisors (35015814720).

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

13059679680 is a wasteful number, since it uses less digits than its factorization.

13059679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65768 (or 65752 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

It can be divided in two parts, 130596 and 79680, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 13059679680 in words is "thirteen billion, fifty-nine million, six hundred seventy-nine thousand, six hundred eighty".