20544541920 has 1152 divisors, whose sum is σ = 91140940800. Its totient is φ = 4263985152.

The previous prime is 20544541889. The next prime is 20544541921. The reversal of 20544541920 is 2914544502.

It is a happy number.

20544541920 is a `hidden beast` number, since 20 + 5 + 4 + 4 + 541 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20544541921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149960092 + ... + 149960228.

It is an arithmetic number, because the mean of its divisors is an integer number (79115400).

Almost surely, 2^20544541920 is an apocalyptic number.

20544541920 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 20544541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45570470400).

20544541920 is an abundant number, since it is smaller than the sum of its proper divisors (70596398880).

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

20544541920 is a wasteful number, since it uses less digits than its factorization.

20544541920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20544541920 in words is "twenty billion, five hundred forty-four million, five hundred forty-one thousand, nine hundred twenty".