21733407117727 has 16 divisors (see below), whose sum is σ = 22792199189760. Its totient is φ = 20684341541952.

The previous prime is 21733407117713. The next prime is 21733407117731. The reversal of 21733407117727 is 72771170433712.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21733407117727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21733407117127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1313008 + ... + 6722410.

It is an arithmetic number, because the mean of its divisors is an integer number (1424512449360).

Almost surely, 2^{21733407117727} is an apocalyptic number.

21733407117727 is a deficient number, since it is larger than the sum of its proper divisors (1058792072033).

21733407117727 is a wasteful number, since it uses less digits than its factorization.

21733407117727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5410302.

The product of its (nonzero) digits is 2420208, while the sum is 52.

The spelling of 21733407117727 in words is "twenty-one trillion, seven hundred thirty-three billion, four hundred seven million, one hundred seventeen thousand, seven hundred twenty-seven".