13679795505600 has 1344 divisors, whose sum is σ = 60329907686400. Its totient is φ = 2948699013120.

The previous prime is 13679795505569. The next prime is 13679795505601. The reversal of 13679795505600 is 650559797631.

13679795505600 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 9 + 79 + 550 + 5 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13679795505601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 377074662 + ... + 377110938.

Almost surely, 2^{13679795505600} is an apocalyptic number.

13679795505600 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 13679795505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30164953843200).

13679795505600 is an abundant number, since it is smaller than the sum of its proper divisors (46650112180800).

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

13679795505600 is a wasteful number, since it uses less digits than its factorization.

13679795505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36387 (or 36366 counting only the distinct ones).

The product of its (nonzero) digits is 53581500, while the sum is 63.

The spelling of 13679795505600 in words is "thirteen trillion, six hundred seventy-nine billion, seven hundred ninety-five million, five hundred five thousand, six hundred".