13676198215680 has 4800 divisors, whose sum is σ = 69059959879680. Its totient is φ = 2497078886400.

The previous prime is 13676198215679. The next prime is 13676198215681. The reversal of 13676198215680 is 8651289167631.

13676198215680 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 61 + 9 + 8 + 2 + 1 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13676198215679) and next prime (13676198215681).

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 (13676198215681) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 192622510045 + ... + 192622510115.

Almost surely, 2^{13676198215680} is an apocalyptic number.

13676198215680 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 13676198215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34529979939840).

13676198215680 is an abundant number, since it is smaller than the sum of its proper divisors (55383761664000).

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

13676198215680 is a wasteful number, since it uses less digits than its factorization.

13676198215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 13676198215680 in words is "thirteen trillion, six hundred seventy-six billion, one hundred ninety-eight million, two hundred fifteen thousand, six hundred eighty".