20528388791424 has 192 divisors, whose sum is σ = 59516870788440. Its totient is φ = 6791352680448.

The previous prime is 20528388791413. The next prime is 20528388791489. The reversal of 20528388791424 is 42419788382502.

20528388791424 is a `hidden beast` number, since 2 + 0 + 52 + 83 + 8 + 87 + 9 + 1 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17301939393600 + 3226449397824 = 4159560^2 + 1796232^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 892798872 + ... + 892821864.

Almost surely, 2^{20528388791424} is an apocalyptic number.

20528388791424 is a gapful number since it is divisible by the number (24) 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 20528388791424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29758435394220).

20528388791424 is an abundant number, since it is smaller than the sum of its proper divisors (38988481997016).

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

20528388791424 is a wasteful number, since it uses less digits than its factorization.

20528388791424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28807 (or 28792 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 20528388791424 in words is "twenty trillion, five hundred twenty-eight billion, three hundred eighty-eight million, seven hundred ninety-one thousand, four hundred twenty-four".