10584315855 has 24 divisors (see below), whose sum is σ = 19425334032. Its totient is φ = 5312911104.

The previous prime is 10584315827. The next prime is 10584315871. The reversal of 10584315855 is 55851348501.

10584315855 is a `hidden beast` number, since 1 + 0 + 584 + 3 + 15 + 8 + 55 = 666.

It is not a de Polignac number, because 10584315855 - 2¹³ = 10584307663 is a prime.

It is a super-2 number, since 2×10584315855² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10584315855.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6917089 + ... + 6918618.

It is an arithmetic number, because the mean of its divisors is an integer number (809388918).

Almost surely, 2^10584315855 is an apocalyptic number.

10584315855 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10584315855 is a deficient number, since it is larger than the sum of its proper divisors (8841018177).

10584315855 is a wasteful number, since it uses less digits than its factorization.

10584315855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13835735 (or 13835732 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 10584315855 in words is "ten billion, five hundred eighty-four million, three hundred fifteen thousand, eight hundred fifty-five".