20185424320 has 112 divisors (see below), whose sum is σ = 49977446400. Its totient is φ = 7756968960.

The previous prime is 20185424309. The next prime is 20185424353. The reversal of 20185424320 is 2342458102.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371561 + ... + 1386199.

It is an arithmetic number, because the mean of its divisors is an integer number (446227200).

Almost surely, 2^20185424320 is an apocalyptic number.

20185424320 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 20185424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24988723200).

20185424320 is an abundant number, since it is smaller than the sum of its proper divisors (29792022080).

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

20185424320 is a wasteful number, since it uses less digits than its factorization.

20185424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14826 (or 14816 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 20185424320 in words is "twenty billion, one hundred eighty-five million, four hundred twenty-four thousand, three hundred twenty".