21682217088 has 96 divisors (see below), whose sum is σ = 71306127360. Its totient is φ = 6194916864.

The previous prime is 21682217087. The next prime is 21682217147. The reversal of 21682217088 is 88071228612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (21682217087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1336320 + ... + 1352447.

It is an arithmetic number, because the mean of its divisors is an integer number (742772160).

Almost surely, 2^21682217088 is an apocalyptic number.

21682217088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21682217088 is an abundant number, since it is smaller than the sum of its proper divisors (49623910272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21682217088 is a wasteful number, since it uses less digits than its factorization.

21682217088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688794 (or 2688779 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 21682217088 in words is "twenty-one billion, six hundred eighty-two million, two hundred seventeen thousand, eighty-eight".