21417812260993 has 8 divisors (see below), whose sum is σ = 21433461047712. Its totient is φ = 21402164373216.

The previous prime is 21417812260987. The next prime is 21417812261009. The reversal of 21417812260993 is 39906221871412.

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-21417812260993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21417812260393) 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, 51832621 + ... + 52244197.

It is an arithmetic number, because the mean of its divisors is an integer number (2679182630964).

Almost surely, 2^{21417812260993} is an apocalyptic number.

It is an amenable number.

21417812260993 is a deficient number, since it is larger than the sum of its proper divisors (15648786719).

21417812260993 is a wasteful number, since it uses less digits than its factorization.

21417812260993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449471.

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 21417812260993 in words is "twenty-one trillion, four hundred seventeen billion, eight hundred twelve million, two hundred sixty thousand, nine hundred ninety-three".