20940327065600 has 288 divisors, whose sum is σ = 52155846812160. Its totient is φ = 8338074501120.

The previous prime is 20940327065599. The next prime is 20940327065611. The reversal of 20940327065600 is 656072304902.

It is a super-2 number, since 2×20940327065600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19158578654 + ... + 19158579746.

It is an arithmetic number, because the mean of its divisors is an integer number (181096690320).

Almost surely, 2^{20940327065600} is an apocalyptic number.

20940327065600 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 20940327065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26077923406080).

20940327065600 is an abundant number, since it is smaller than the sum of its proper divisors (31215519746560).

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

20940327065600 is a wasteful number, since it uses less digits than its factorization.

20940327065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 20940327065600 in words is "twenty trillion, nine hundred forty billion, three hundred twenty-seven million, sixty-five thousand, six hundred".