21759548106969 has 48 divisors (see below), whose sum is σ = 36023628882240. Its totient is φ = 12934468126080.

The previous prime is 21759548106949. The next prime is 21759548106991. The reversal of 21759548106969 is 96960184595712.

21759548106969 is a `hidden beast` number, since 2 + 1 + 7 + 5 + 9 + 548 + 10 + 6 + 9 + 69 = 666.

It is not a de Polignac number, because 21759548106969 - 2⁸ = 21759548106713 is a prime.

It is a super-2 number, since 2×21759548106969² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21759548106897 and 21759548106906.

It is not an unprimeable number, because it can be changed into a prime (21759548106949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65494167 + ... + 65825564.

It is an arithmetic number, because the mean of its divisors is an integer number (750492268380).

Almost surely, 2^{21759548106969} is an apocalyptic number.

It is an amenable number.

21759548106969 is a deficient number, since it is larger than the sum of its proper divisors (14264080775271).

21759548106969 is a wasteful number, since it uses less digits than its factorization.

21759548106969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131319795 (or 131319770 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 21759548106969 in words is "twenty-one trillion, seven hundred fifty-nine billion, five hundred forty-eight million, one hundred six thousand, nine hundred sixty-nine".