20418682320 has 180 divisors, whose sum is σ = 72844450380. Its totient is φ = 5124636672.

The previous prime is 20418682267. The next prime is 20418682357. The reversal of 20418682320 is 2328681402.

20418682320 is a `hidden beast` number, since 2 + 0 + 418 + 6 + 8 + 232 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 527529024 + 19891153296 = 22968^2 + 141036^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159016 + ... + 257144.

It is an arithmetic number, because the mean of its divisors is an integer number (404691391).

Almost surely, 2^20418682320 is an apocalyptic number.

20418682320 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 20418682320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36422225190).

20418682320 is an abundant number, since it is smaller than the sum of its proper divisors (52425768060).

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

20418682320 is a wasteful number, since it uses less digits than its factorization.

20418682320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98182 (or 98156 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20418682320 in words is "twenty billion, four hundred eighteen million, six hundred eighty-two thousand, three hundred twenty".