13679330739200 has 1056 divisors, whose sum is σ = 41809151090688. Its totient is φ = 4335648768000.

The previous prime is 13679330739187. The next prime is 13679330739211. The reversal of 13679330739200 is 293703397631.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41327283035 + ... + 41327283365.

Almost surely, 2^{13679330739200} is an apocalyptic number.

13679330739200 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 13679330739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20904575545344).

13679330739200 is an abundant number, since it is smaller than the sum of its proper divisors (28129820351488).

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

13679330739200 is a wasteful number, since it uses less digits than its factorization.

13679330739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 53.

The spelling of 13679330739200 in words is "thirteen trillion, six hundred seventy-nine billion, three hundred thirty million, seven hundred thirty-nine thousand, two hundred".