21072117763 has 8 divisors (see below), whose sum is σ = 22360060800. Its totient is φ = 19789553280.

The previous prime is 21072117743. The next prime is 21072117769. The reversal of 21072117763 is 36771127012.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 21072117763 - 2⁹ = 21072117251 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21072117769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1336563 + ... + 1352236.

It is an arithmetic number, because the mean of its divisors is an integer number (2795007600).

Almost surely, 2^21072117763 is an apocalyptic number.

21072117763 is a deficient number, since it is larger than the sum of its proper divisors (1287943037).

21072117763 is a wasteful number, since it uses less digits than its factorization.

21072117763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689277.

The product of its (nonzero) digits is 24696, while the sum is 37.

It can be divided in two parts, 210721 and 17763, that added together give a square (228484 = 478²).

The spelling of 21072117763 in words is "twenty-one billion, seventy-two million, one hundred seventeen thousand, seven hundred sixty-three".