10556006111010 has 96 divisors (see below), whose sum is σ = 27516838931712. Its totient is φ = 2807636307840.

The previous prime is 10556006111009. The next prime is 10556006111011. The reversal of 10556006111010 is 1011160065501.

10556006111010 is a `hidden beast` number, since 1 + 0 + 55 + 600 + 6 + 1 + 1 + 1 + 0 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10556006111009) and next prime (10556006111011).

It is a super-2 number, since 2×10556006111010² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10556006111011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82204755 + ... + 82333065.

It is an arithmetic number, because the mean of its divisors is an integer number (286633738872).

Almost surely, 2^{10556006111010} is an apocalyptic number.

10556006111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10556006111010 is an abundant number, since it is smaller than the sum of its proper divisors (16960832820702).

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

10556006111010 is a wasteful number, since it uses less digits than its factorization.

10556006111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130688 (or 130685 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 10556006111010 its reverse (1011160065501), we get a palindrome (11567166176511).

The spelling of 10556006111010 in words is "ten trillion, five hundred fifty-six billion, six million, one hundred eleven thousand, ten".