20013653264256 has 192 divisors, whose sum is σ = 57867834195600. Its totient is φ = 6639229255680.

The previous prime is 20013653264141. The next prime is 20013653264263. The reversal of 20013653264256 is 65246235631002.

20013653264256 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 6 + 532 + 64 + 2 + 56 = 666.

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

It is a congruent number.

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, 443355735 + ... + 443400873.

Almost surely, 2^{20013653264256} 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 20013653264256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28933917097800).

20013653264256 is an abundant number, since it is smaller than the sum of its proper divisors (37854180931344).

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

20013653264256 is a wasteful number, since it uses less digits than its factorization.

20013653264256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46997 (or 46982 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 20013653264256 its reverse (65246235631002), we get a palindrome (85259888895258).

The spelling of 20013653264256 in words is "twenty trillion, thirteen billion, six hundred fifty-three million, two hundred sixty-four thousand, two hundred fifty-six".