21180763667063 has 192 divisors, whose sum is σ = 30301646192640. Its totient is φ = 14356396454400.

The previous prime is 21180763666981. The next prime is 21180763667087. The reversal of 21180763667063 is 36076636708112.

It is not a de Polignac number, because 21180763667063 - 2²⁶ = 21180696558199 is a prime.

It is a super-3 number, since 3×21180763667063³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21180763667093) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2546678981 + ... + 2546687297.

It is an arithmetic number, because the mean of its divisors is an integer number (157821073920).

Almost surely, 2^{21180763667063} is an apocalyptic number.

21180763667063 is a deficient number, since it is larger than the sum of its proper divisors (9120882525577).

21180763667063 is a wasteful number, since it uses less digits than its factorization.

21180763667063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 56.

The spelling of 21180763667063 in words is "twenty-one trillion, one hundred eighty billion, seven hundred sixty-three million, six hundred sixty-seven thousand, sixty-three".