20742795705600 has 540 divisors, whose sum is σ = 77011654126176. Its totient is φ = 5531378595840.

The previous prime is 20742795705563. The next prime is 20742795705647. The reversal of 20742795705600 is 650759724702.

It is a happy number.

20742795705600 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 2 + 7 + 9 + 5 + 70 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 125888869 + ... + 126053531.

Almost surely, 2^{20742795705600} is an apocalyptic number.

20742795705600 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 20742795705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38505827063088).

20742795705600 is an abundant number, since it is smaller than the sum of its proper divisors (56268858420576).

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

20742795705600 is an frugal number, since it uses more digits than its factorization.

20742795705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164716 (or 164673 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 20742795705600 in words is "twenty trillion, seven hundred forty-two billion, seven hundred ninety-five million, seven hundred five thousand, six hundred".