20217201607512 has 1536 divisors, whose sum is σ = 74209331589120. Its totient is φ = 4827898183680.

The previous prime is 20217201607501. The next prime is 20217201607517. The reversal of 20217201607512 is 21570610271202.

20217201607512 is a `hidden beast` number, since 2 + 0 + 2 + 17 + 20 + 1 + 607 + 5 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20217201607517) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35038477368 + ... + 35038477944.

It is an arithmetic number, because the mean of its divisors is an integer number (48313366920).

Almost surely, 2^{20217201607512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20217201607512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37104665794560).

20217201607512 is an abundant number, since it is smaller than the sum of its proper divisors (53992129981608).

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

20217201607512 is a wasteful number, since it uses less digits than its factorization.

20217201607512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 20217201607512 its reverse (21570610271202), we get a palindrome (41787811878714).

The spelling of 20217201607512 in words is "twenty trillion, two hundred seventeen billion, two hundred one million, six hundred seven thousand, five hundred twelve".