13670191100160 has 1620 divisors, whose sum is σ = 57956114792268. Its totient is φ = 3067681849344.

The previous prime is 13670191100143. The next prime is 13670191100171. The reversal of 13670191100160 is 6100119107631.

13670191100160 is a `hidden beast` number, since 1 + 367 + 0 + 191 + 100 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2578413793536 + 11091777306624 = 1605744^2 + 3330432^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 17684593534 + ... + 17684594306.

Almost surely, 2^{13670191100160} is an apocalyptic number.

13670191100160 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 13670191100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28978057396134).

13670191100160 is an abundant number, since it is smaller than the sum of its proper divisors (44285923692108).

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

13670191100160 is an frugal number, since it uses more digits than its factorization.

13670191100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 13670191100160 in words is "thirteen trillion, six hundred seventy billion, one hundred ninety-one million, one hundred thousand, one hundred sixty".