10584747379579 has 8 divisors (see below), whose sum is σ = 10956789416160. Its totient is φ = 10213175392896.

The previous prime is 10584747379573. The next prime is 10584747379589. The reversal of 10584747379579 is 97597374748501.

10584747379579 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-10584747379579 is a prime.

It is a super-2 number, since 2×10584747379579² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10584747379573) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117466647 + ... + 117556720.

It is an arithmetic number, because the mean of its divisors is an integer number (1369598677020).

Almost surely, 2^{10584747379579} is an apocalyptic number.

10584747379579 is a deficient number, since it is larger than the sum of its proper divisors (372042036581).

10584747379579 is a wasteful number, since it uses less digits than its factorization.

10584747379579 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235024949.

The product of its (nonzero) digits is 1867017600, while the sum is 76.

The spelling of 10584747379579 in words is "ten trillion, five hundred eighty-four billion, seven hundred forty-seven million, three hundred seventy-nine thousand, five hundred seventy-nine".