20135160666000 has 240 divisors, whose sum is σ = 70517049977088. Its totient is φ = 5354743968000.

The previous prime is 20135160665993. The next prime is 20135160666013. The reversal of 20135160666000 is 66606153102.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5081995 + ... + 8130005.

Almost surely, 2^{20135160666000} is an apocalyptic number.

20135160666000 is a gapful number since it is divisible by the number (20) 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 20135160666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35258524988544).

20135160666000 is an abundant number, since it is smaller than the sum of its proper divisors (50381889311088).

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

20135160666000 is a wasteful number, since it uses less digits than its factorization.

20135160666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048407 (or 3048388 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 20135160666000 in words is "twenty trillion, one hundred thirty-five billion, one hundred sixty million, six hundred sixty-six thousand".