20733821271936 has 1024 divisors, whose sum is σ = 68294828851200. Its totient is φ = 6163070976000.

The previous prime is 20733821271871. The next prime is 20733821271949. The reversal of 20733821271936 is 63917212833702.

It is a happy number.

20733821271936 is a `hidden beast` number, since 2 + 0 + 7 + 338 + 2 + 1 + 271 + 9 + 36 = 666.

It is a super-2 number, since 2×20733821271936² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47884113576 + ... + 47884114008.

It is an arithmetic number, because the mean of its divisors is an integer number (66694168800).

Almost surely, 2^{20733821271936} 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 20733821271936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34147414425600).

20733821271936 is an abundant number, since it is smaller than the sum of its proper divisors (47561007579264).

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

20733821271936 is a wasteful number, since it uses less digits than its factorization.

20733821271936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 20733821271936 in words is "twenty trillion, seven hundred thirty-three billion, eight hundred twenty-one million, two hundred seventy-one thousand, nine hundred thirty-six".