10584908407 has 16 divisors (see below), whose sum is σ = 11859581952. Its totient is φ = 9394887040.

The previous prime is 10584908387. The next prime is 10584908431. The reversal of 10584908407 is 70480948501.

It is a cyclic number.

It is not a de Polignac number, because 10584908407 - 2²³ = 10576519799 is a prime.

It is a super-2 number, since 2×10584908407² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10584908437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162883 + ... + 218404.

It is an arithmetic number, because the mean of its divisors is an integer number (741223872).

Almost surely, 2^10584908407 is an apocalyptic number.

10584908407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10584908407 is a deficient number, since it is larger than the sum of its proper divisors (1274673545).

10584908407 is a wasteful number, since it uses less digits than its factorization.

10584908407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381398.

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 10584908407 in words is "ten billion, five hundred eighty-four million, nine hundred eight thousand, four hundred seven".