20906540800 has 108 divisors (see below), whose sum is σ = 53531808120. Its totient is φ = 8074178560.

The previous prime is 20906540773. The next prime is 20906540801. The reversal of 20906540800 is 804560902.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20906540801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129279 + ... + 241921.

It is an arithmetic number, because the mean of its divisors is an integer number (495664890).

Almost surely, 2^20906540800 is an apocalyptic number.

20906540800 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 20906540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26765904060).

20906540800 is an abundant number, since it is smaller than the sum of its proper divisors (32625267320).

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

20906540800 is a wasteful number, since it uses less digits than its factorization.

20906540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112698 (or 112679 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 20906540800 in words is "twenty billion, nine hundred six million, five hundred forty thousand, eight hundred".