11005100055011 has 8 divisors (see below), whose sum is σ = 11958003456000. Its totient is φ = 10089565414920.

The previous prime is 11005100054999. The next prime is 11005100055041. The reversal of 11005100055011 is 11055000150011.

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

It is not a de Polignac number, because 11005100055011 - 2⁶ = 11005100054947 is a prime.

It is a super-2 number, since 2×11005100055011² (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 (11005100055041) 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, 9342189611 + ... + 9342190788.

It is an arithmetic number, because the mean of its divisors is an integer number (1494750432000).

Almost surely, 2^{11005100055011} is an apocalyptic number.

11005100055011 is a deficient number, since it is larger than the sum of its proper divisors (952903400989).

11005100055011 is a wasteful number, since it uses less digits than its factorization.

11005100055011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18684380449.

The product of its (nonzero) digits is 125, while the sum is 20.

The spelling of 11005100055011 in words is "eleven trillion, five billion, one hundred million, fifty-five thousand, eleven".