21117026304 has 360 divisors, whose sum is σ = 68209884288. Its totient is φ = 6240337920.

The previous prime is 21117026297. The next prime is 21117026321. The reversal of 21117026304 is 40362071112.

21117026304 is a `hidden beast` number, since 2 + 11 + 17 + 0 + 2 + 630 + 4 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 76234614 + ... + 76234890.

Almost surely, 2^21117026304 is an apocalyptic number.

21117026304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21117026304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34104942144).

21117026304 is an abundant number, since it is smaller than the sum of its proper divisors (47092857984).

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

21117026304 is a wasteful number, since it uses less digits than its factorization.

21117026304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 21117026304 its reverse (40362071112), we get a palindrome (61479097416).

The spelling of 21117026304 in words is "twenty-one billion, one hundred seventeen million, twenty-six thousand, three hundred four".