21106755623753 has 8 divisors (see below), whose sum is σ = 21316001907720. Its totient is φ = 20897514604800.

The previous prime is 21106755623711. The next prime is 21106755623761. The reversal of 21106755623753 is 35732655760112.

It can be written as a sum of positive squares in 4 ways, for example, as 4798145678089 + 16308609945664 = 2190467^2 + 4038392^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21106755623753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21106755623695 and 21106755623704.

It is not an unprimeable number, because it can be changed into a prime (21106755623353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7000403 + ... + 9550871.

It is an arithmetic number, because the mean of its divisors is an integer number (2664500238465).

Almost surely, 2^{21106755623753} is an apocalyptic number.

It is an amenable number.

21106755623753 is a deficient number, since it is larger than the sum of its proper divisors (209246283967).

21106755623753 is a wasteful number, since it uses less digits than its factorization.

21106755623753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632507.

The product of its (nonzero) digits is 7938000, while the sum is 53.

The spelling of 21106755623753 in words is "twenty-one trillion, one hundred six billion, seven hundred fifty-five million, six hundred twenty-three thousand, seven hundred fifty-three".