20814542102727 has 24 divisors (see below), whose sum is σ = 31710760099200. Its totient is φ = 13119891295248.

The previous prime is 20814542102677. The next prime is 20814542102743. The reversal of 20814542102727 is 72720124541802.

20814542102727 is a `hidden beast` number, since 2 + 0 + 81 + 4 + 542 + 1 + 0 + 2 + 7 + 27 = 666.

It is not a de Polignac number, because 20814542102727 - 2¹² = 20814542098631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20814542102777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120910477 + ... + 121082502.

It is an arithmetic number, because the mean of its divisors is an integer number (1321281670800).

Almost surely, 2^{20814542102727} is an apocalyptic number.

20814542102727 is a deficient number, since it is larger than the sum of its proper divisors (10896217996473).

20814542102727 is a wasteful number, since it uses less digits than its factorization.

20814542102727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241993507 (or 241993504 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 20814542102727 in words is "twenty trillion, eight hundred fourteen billion, five hundred forty-two million, one hundred two thousand, seven hundred twenty-seven".