20406738528 has 432 divisors, whose sum is σ = 69516195840. Its totient is φ = 5624524800.

The previous prime is 20406738493. The next prime is 20406738553. The reversal of 20406738528 is 82583760402.

20406738528 is a `hidden beast` number, since 20 + 40 + 67 + 3 + 8 + 528 = 666.

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 71 ways as a sum of consecutive naturals, for example, 28381753 + ... + 28382471.

It is an arithmetic number, because the mean of its divisors is an integer number (160917120).

Almost surely, 2^20406738528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20406738528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34758097920).

20406738528 is an abundant number, since it is smaller than the sum of its proper divisors (49109457312).

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

20406738528 is a wasteful number, since it uses less digits than its factorization.

20406738528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20406738528 in words is "twenty billion, four hundred six million, seven hundred thirty-eight thousand, five hundred twenty-eight".