10584279000691 has 48 divisors (see below), whose sum is σ = 12223704858624. Its totient is φ = 9146851560000.

The previous prime is 10584279000643. The next prime is 10584279000703. The reversal of 10584279000691 is 19600097248501.

It is a de Polignac number, because none of the positive numbers 2^k-10584279000691 is a prime.

It is a super-2 number, since 2×10584279000691² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10584279000091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48004086 + ... + 48224068.

It is an arithmetic number, because the mean of its divisors is an integer number (254660517888).

Almost surely, 2^{10584279000691} is an apocalyptic number.

10584279000691 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10584279000691 is a deficient number, since it is larger than the sum of its proper divisors (1639425857933).

10584279000691 is a wasteful number, since it uses less digits than its factorization.

10584279000691 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220264 (or 220253 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 10584279000691 in words is "ten trillion, five hundred eighty-four billion, two hundred seventy-nine million, six hundred ninety-one", and thus it is an aban number.