10556111111011 has 8 divisors (see below), whose sum is σ = 10592621208000. Its totient is φ = 10519651689600.

The previous prime is 10556111110873. The next prime is 10556111111033. The reversal of 10556111111011 is 11011111165501.

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-10556111111011 is a prime.

It is a super-2 number, since 2×10556111111011² (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 (10556111114011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12251536 + ... + 13084813.

It is an arithmetic number, because the mean of its divisors is an integer number (1324077651000).

Almost surely, 2^{10556111111011} is an apocalyptic number.

10556111111011 is a deficient number, since it is larger than the sum of its proper divisors (36510096989).

10556111111011 is a wasteful number, since it uses less digits than its factorization.

10556111111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25337789.

The product of its (nonzero) digits is 150, while the sum is 25.

Adding to 10556111111011 its reverse (11011111165501), we get a palindrome (21567222276512).

The spelling of 10556111111011 in words is "ten trillion, five hundred fifty-six billion, one hundred eleven million, one hundred eleven thousand, eleven".