20538506634624 has 320 divisors, whose sum is σ = 66695425505280. Its totient is φ = 6222241152000.

The previous prime is 20538506634599. The next prime is 20538506634629. The reversal of 20538506634624 is 42643660583502.

It is a happy number.

20538506634624 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 8 + 5 + 0 + 6 + 6 + 3 + 4 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20538506634629) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 508976049 + ... + 509016399.

It is an arithmetic number, because the mean of its divisors is an integer number (208423204704).

Almost surely, 2^{20538506634624} is an apocalyptic number.

20538506634624 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 20538506634624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33347712752640).

20538506634624 is an abundant number, since it is smaller than the sum of its proper divisors (46156918870656).

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

20538506634624 is a wasteful number, since it uses less digits than its factorization.

20538506634624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44851 (or 44830 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 20538506634624 in words is "twenty trillion, five hundred thirty-eight billion, five hundred six million, six hundred thirty-four thousand, six hundred twenty-four".