11001056006010 has 128 divisors (see below), whose sum is σ = 33338384953344. Its totient is φ = 2263717463040.

The previous prime is 11001056005967. The next prime is 11001056006021. The reversal of 11001056006010 is 1060065010011.

It is a super-2 number, since 2×11001056006010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66907636 + ... + 67071855.

It is an arithmetic number, because the mean of its divisors is an integer number (260456132448).

Almost surely, 2^{11001056006010} is an apocalyptic number.

11001056006010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11001056006010 is an abundant number, since it is smaller than the sum of its proper divisors (22337328947334).

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

11001056006010 is a wasteful number, since it uses less digits than its factorization.

11001056006010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133979548.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 11001056006010 in words is "eleven trillion, one billion, fifty-six million, six thousand, ten".