20544664400 has 120 divisors (see below), whose sum is σ = 54592511064. Its totient is φ = 7380633600.

The previous prime is 20544664351. The next prime is 20544664403. The reversal of 20544664400 is 446644502.

It can be written as a sum of positive squares in 12 ways, for example, as 925619776 + 19619044624 = 30424^2 + 140068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20544664403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139010 + ... + 245790.

Almost surely, 2^20544664400 is an apocalyptic number.

20544664400 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 20544664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27296255532).

20544664400 is an abundant number, since it is smaller than the sum of its proper divisors (34047846664).

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

20544664400 is a wasteful number, since it uses less digits than its factorization.

20544664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106849 (or 106838 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 20544664400 in words is "twenty billion, five hundred forty-four million, six hundred sixty-four thousand, four hundred".