20424811680 has 576 divisors, whose sum is σ = 86914114560. Its totient is φ = 4252704768.

The previous prime is 20424811663. The next prime is 20424811681. The reversal of 20424811680 is 8611842402.

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

It is not an unprimeable number, because it can be changed into a prime (20424811681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10351174 + ... + 10353146.

It is an arithmetic number, because the mean of its divisors is an integer number (150892560).

Almost surely, 2^20424811680 is an apocalyptic number.

20424811680 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 20424811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43457057280).

20424811680 is an abundant number, since it is smaller than the sum of its proper divisors (66489302880).

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

20424811680 is a wasteful number, since it uses less digits than its factorization.

20424811680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 20424811680 in words is "twenty billion, four hundred twenty-four million, eight hundred eleven thousand, six hundred eighty".