21757680248103 has 16 divisors (see below), whose sum is σ = 32325960268000. Its totient is φ = 14463558210240.

The previous prime is 21757680248023. The next prime is 21757680248111. The reversal of 21757680248103 is 30184208675712.

21757680248103 is a `hidden beast` number, since 2 + 17 + 5 + 76 + 80 + 2 + 481 + 0 + 3 = 666.

It is not a de Polignac number, because 21757680248103 - 2¹² = 21757680244007 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21757680248103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21757680240103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1154489158 + ... + 1154508003.

It is an arithmetic number, because the mean of its divisors is an integer number (2020372516750).

Almost surely, 2^{21757680248103} is an apocalyptic number.

21757680248103 is a deficient number, since it is larger than the sum of its proper divisors (10568280019897).

21757680248103 is a wasteful number, since it uses less digits than its factorization.

21757680248103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308997519 (or 2308997513 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 21757680248103 in words is "twenty-one trillion, seven hundred fifty-seven billion, six hundred eighty million, two hundred forty-eight thousand, one hundred three".