20861727391296 has 945 divisors, whose sum is σ = 69800975175393. Its totient is φ = 6156210677760.

The previous prime is 20861727391291. The next prime is 20861727391303. The reversal of 20861727391296 is 69219372716802.

The square root of 20861727391296 is 4567464.

It is a perfect power (a square), and thus also a powerful number.

20861727391296 is a `hidden beast` number, since 2 + 0 + 8 + 617 + 2 + 7 + 3 + 9 + 1 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11842132737600 + 9019594653696 = 3441240^2 + 3003264^2 .

It is not an unprimeable number, because it can be changed into a prime (20861727391291) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 264072498585 + ... + 264072498663.

Almost surely, 2^{20861727391296} is an apocalyptic number.

20861727391296 is the 4567464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20861727391296

20861727391296 is an abundant number, since it is smaller than the sum of its proper divisors (48939247784097).

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

20861727391296 is an frugal number, since it uses more digits than its factorization.

20861727391296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 20861727391296 in words is "twenty trillion, eight hundred sixty-one billion, seven hundred twenty-seven million, three hundred ninety-one thousand, two hundred ninety-six".