21717161375 has 96 divisors (see below), whose sum is σ = 34283995200. Its totient is φ = 13612435200.

The previous prime is 21717161363. The next prime is 21717161387. The reversal of 21717161375 is 57316171712.

It is an interprime number because it is at equal distance from previous prime (21717161363) and next prime (21717161387).

It is not a de Polignac number, because 21717161375 - 2⁶ = 21717161311 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8518601 + ... + 8521149.

It is an arithmetic number, because the mean of its divisors is an integer number (357124950).

Almost surely, 2^21717161375 is an apocalyptic number.

21717161375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21717161375 is a deficient number, since it is larger than the sum of its proper divisors (12566833825).

21717161375 is a wasteful number, since it uses less digits than its factorization.

21717161375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2681 counting only the distinct ones).

The product of its digits is 61740, while the sum is 41.

The spelling of 21717161375 in words is "twenty-one billion, seven hundred seventeen million, one hundred sixty-one thousand, three hundred seventy-five".