20217600000 has 864 divisors, whose sum is σ = 81510876720. Its totient is φ = 4976640000.

The previous prime is 20217599917. The next prime is 20217600071. The reversal of 20217600000 is 671202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1555199994 + ... + 1555200006.

Almost surely, 2^20217600000 is an apocalyptic number.

20217600000 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 20217600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40755438360).

20217600000 is an abundant number, since it is smaller than the sum of its proper divisors (61293276720).

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

20217600000 is an frugal number, since it uses more digits than its factorization.

20217600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The spelling of 20217600000 in words is "twenty billion, two hundred seventeen million, six hundred thousand".