21735455506127 has 12 divisors (see below), whose sum is σ = 23967857969328. Its totient is φ = 19695969585600.

The previous prime is 21735455506117. The next prime is 21735455506147. The reversal of 21735455506127 is 72160555453712.

It is not a de Polignac number, because 21735455506127 - 2⁴ = 21735455506111 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 (21735455506117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288759578 + ... + 288834839.

It is an arithmetic number, because the mean of its divisors is an integer number (1997321497444).

Almost surely, 2^{21735455506127} is an apocalyptic number.

21735455506127 is a deficient number, since it is larger than the sum of its proper divisors (2232402463201).

21735455506127 is a wasteful number, since it uses less digits than its factorization.

21735455506127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577594750 (or 577594739 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 53.

The spelling of 21735455506127 in words is "twenty-one trillion, seven hundred thirty-five billion, four hundred fifty-five million, five hundred six thousand, one hundred twenty-seven".