10585872011 has 8 divisors (see below), whose sum is σ = 12436549104. Its totient is φ = 8883249120.

The previous prime is 10585871999. The next prime is 10585872049. The reversal of 10585872011 is 11027858501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10585872011 is a prime.

It is a super-2 number, since 2×10585872011² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10585872611) 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, 37013396 + ... + 37013681.

It is an arithmetic number, because the mean of its divisors is an integer number (1554568638).

Almost surely, 2^10585872011 is an apocalyptic number.

10585872011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10585872011 is a deficient number, since it is larger than the sum of its proper divisors (1850677093).

10585872011 is a wasteful number, since it uses less digits than its factorization.

10585872011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74027101.

The product of its (nonzero) digits is 22400, while the sum is 38.

The spelling of 10585872011 in words is "ten billion, five hundred eighty-five million, eight hundred seventy-two thousand, eleven".