21759763104 has 192 divisors, whose sum is σ = 65282474880. Its totient is φ = 7048304640.

The previous prime is 21759763031. The next prime is 21759763141. The reversal of 21759763104 is 40136795712.

21759763104 is a `hidden beast` number, since 2 + 1 + 7 + 5 + 9 + 7 + 631 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21759763104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4897524 + ... + 4901964.

It is an arithmetic number, because the mean of its divisors is an integer number (340012890).

Almost surely, 2^21759763104 is an apocalyptic number.

21759763104 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 21759763104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32641237440).

21759763104 is an abundant number, since it is smaller than the sum of its proper divisors (43522711776).

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

21759763104 is a wasteful number, since it uses less digits than its factorization.

21759763104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 21759763104 in words is "twenty-one billion, seven hundred fifty-nine million, seven hundred sixty-three thousand, one hundred four".