21682125927 has 160 divisors (see below), whose sum is σ = 42059956224. Its totient is φ = 10802030400.

The previous prime is 21682125919. The next prime is 21682125929. The reversal of 21682125927 is 72952128612.

It is not a de Polignac number, because 21682125927 - 2³ = 21682125919 is a prime.

It is a super-2 number, since 2×21682125927² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21682125929) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 24554628 + ... + 24555510.

Almost surely, 2^21682125927 is an apocalyptic number.

21682125927 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

21682125927 is a deficient number, since it is larger than the sum of its proper divisors (20377830297).

21682125927 is a wasteful number, since it uses less digits than its factorization.

21682125927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1062 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 21682125927 in words is "twenty-one billion, six hundred eighty-two million, one hundred twenty-five thousand, nine hundred twenty-seven".