20721633922080 has 1536 divisors, whose sum is σ = 91189928632320. Its totient is φ = 4278497034240.

The previous prime is 20721633922057. The next prime is 20721633922123. The reversal of 20721633922080 is 8022933612702.

20721633922080 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 1 + 633 + 9 + 2 + 2 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×20721633922080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4135226775 + ... + 4135231785.

It is an arithmetic number, because the mean of its divisors is an integer number (59368443120).

Almost surely, 2^{20721633922080} is an apocalyptic number.

20721633922080 is a gapful number since it is divisible by the number (20) 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 20721633922080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45594964316160).

20721633922080 is an abundant number, since it is smaller than the sum of its proper divisors (70468294710240).

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

20721633922080 is a wasteful number, since it uses less digits than its factorization.

20721633922080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 20721633922080 in words is "twenty trillion, seven hundred twenty-one billion, six hundred thirty-three million, nine hundred twenty-two thousand, eighty".