817380499005 has 64 divisors (see below), whose sum is σ = 1681731379200. Its totient is φ = 368929753920.

The previous prime is 817380498973. The next prime is 817380499031. The reversal of 817380499005 is 500994083718.

817380499005 is a `hidden beast` number, since 8 + 1 + 73 + 80 + 499 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 817380499005 - 2⁵ = 817380498973 is a prime.

It is a super-2 number, since 2×817380499005² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5399731 + ... + 5549040.

It is an arithmetic number, because the mean of its divisors is an integer number (26277052800).

Almost surely, 2^817380499005 is an apocalyptic number.

It is an amenable number.

817380499005 is an abundant number, since it is smaller than the sum of its proper divisors (864350880195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

817380499005 is a wasteful number, since it uses less digits than its factorization.

817380499005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10948871 (or 10948865 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 817380499005 in words is "eight hundred seventeen billion, three hundred eighty million, four hundred ninety-nine thousand, five".