20117312064 has 336 divisors, whose sum is σ = 62299494400. Its totient is φ = 6364624896.

The previous prime is 20117312023. The next prime is 20117312129. The reversal of 20117312064 is 46021371102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158403969 + ... + 158404095.

Almost surely, 2^20117312064 is an apocalyptic number.

20117312064 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 20117312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31149747200).

20117312064 is an abundant number, since it is smaller than the sum of its proper divisors (42182182336).

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

20117312064 is a wasteful number, since it uses less digits than its factorization.

20117312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 20117312064 its reverse (46021371102), we get a palindrome (66138683166).

The spelling of 20117312064 in words is "twenty billion, one hundred seventeen million, three hundred twelve thousand, sixty-four".