20217564107664 has 1920 divisors, whose sum is σ = 74258104320000. Its totient is φ = 4667391590400.

The previous prime is 20217564107641. The next prime is 20217564107693. The reversal of 20217564107664 is 46670146571202.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 101595799437 + ... + 101595799635.

It is an arithmetic number, because the mean of its divisors is an integer number (38676096000).

Almost surely, 2^{20217564107664} is an apocalyptic number.

20217564107664 is a gapful number since it is divisible by the number (24) 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 20217564107664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37129052160000).

20217564107664 is an abundant number, since it is smaller than the sum of its proper divisors (54040540212336).

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

20217564107664 is a wasteful number, since it uses less digits than its factorization.

20217564107664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 20217564107664 in words is "twenty trillion, two hundred seventeen billion, five hundred sixty-four million, one hundred seven thousand, six hundred sixty-four".