21349638585 has 192 divisors, whose sum is σ = 43023052800. Its totient is φ = 10069920000.

The previous prime is 21349638559. The next prime is 21349638593. The reversal of 21349638585 is 58583694312.

21349638585 is a `hidden beast` number, since 2 + 13 + 49 + 6 + 3 + 8 + 585 = 666.

It is not a de Polignac number, because 21349638585 - 2⁶ = 21349638521 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141388260 + ... + 141388410.

It is an arithmetic number, because the mean of its divisors is an integer number (224078400).

Almost surely, 2^21349638585 is an apocalyptic number.

It is an amenable number.

21349638585 is an abundant number, since it is smaller than the sum of its proper divisors (21673414215).

21349638585 is a wasteful number, since it uses less digits than its factorization.

21349638585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 21349638585 in words is "twenty-one billion, three hundred forty-nine million, six hundred thirty-eight thousand, five hundred eighty-five".