20105836800 has 864 divisors, whose sum is σ = 80294860800. Its totient is φ = 4425523200.

The previous prime is 20105836799. The next prime is 20105836813. The reversal of 20105836800 is 863850102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283180765 + ... + 283180835.

Almost surely, 2^20105836800 is an apocalyptic number.

20105836800 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 20105836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40147430400).

20105836800 is an abundant number, since it is smaller than the sum of its proper divisors (60189024000).

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

20105836800 is an equidigital number, since it uses as much as digits as its factorization.

20105836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 20105836800 in words is "twenty billion, one hundred five million, eight hundred thirty-six thousand, eight hundred".