20117206368000 has 648 divisors, whose sum is σ = 84206014860240. Its totient is φ = 4598215372800.

The previous prime is 20117206367981. The next prime is 20117206368053. The reversal of 20117206368000 is 86360271102.

20117206368000 is a `hidden beast` number, since 2 + 0 + 1 + 17 + 2 + 0 + 636 + 8 + 0 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 13399231 + ... + 14824769.

Almost surely, 2^{20117206368000} is an apocalyptic number.

20117206368000 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 20117206368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42103007430120).

20117206368000 is an abundant number, since it is smaller than the sum of its proper divisors (64088808492240).

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

20117206368000 is a wasteful number, since it uses less digits than its factorization.

20117206368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425590 (or 1425556 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20117206368000 in words is "twenty trillion, one hundred seventeen billion, two hundred six million, three hundred sixty-eight thousand".