10584405272 has 32 divisors (see below), whose sum is σ = 22780811520. Its totient is φ = 4516185120.

The previous prime is 10584405253. The next prime is 10584405277. The reversal of 10584405272 is 27250448501.

It is a super-2 number, since 2×10584405272² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10584405277) 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, 403604 + ... + 429027.

It is an arithmetic number, because the mean of its divisors is an integer number (711900360).

Almost surely, 2^10584405272 is an apocalyptic number.

It is an amenable number.

10584405272 is an abundant number, since it is smaller than the sum of its proper divisors (12196406248).

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

10584405272 is a wasteful number, since it uses less digits than its factorization.

10584405272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832871 (or 832867 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 38.

The spelling of 10584405272 in words is "ten billion, five hundred eighty-four million, four hundred five thousand, two hundred seventy-two".