16427953221759 has 32 divisors (see below), whose sum is σ = 24362674176000. Its totient is φ = 10940738470272.

The previous prime is 16427953221731. The next prime is 16427953221851. The reversal of 16427953221759 is 95712235972461.

16427953221759 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 7 + 9 + 532 + 21 + 75 + 9 = 666.

It is not a de Polignac number, because 16427953221759 - 2¹⁵ = 16427953188991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16427953221696 and 16427953221705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16427953221259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147020199 + ... + 147131895.

It is an arithmetic number, because the mean of its divisors is an integer number (761333568000).

Almost surely, 2^{16427953221759} is an apocalyptic number.

16427953221759 is a deficient number, since it is larger than the sum of its proper divisors (7934720954241).

16427953221759 is a wasteful number, since it uses less digits than its factorization.

16427953221759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117244 (or 117238 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 16427953221759 in words is "sixteen trillion, four hundred twenty-seven billion, nine hundred fifty-three million, two hundred twenty-one thousand, seven hundred fifty-nine".