11106005006000 has 80 divisors (see below), whose sum is σ = 27720588649728. Its totient is φ = 4299098688000.

The previous prime is 11106005005999. The next prime is 11106005006017. The reversal of 11106005006000 is 60050060111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 89502557 + ... + 89626556.

Almost surely, 2^{11106005006000} is an apocalyptic number.

11106005006000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11106005006000 is an abundant number, since it is smaller than the sum of its proper divisors (16614583643728).

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

11106005006000 is a wasteful number, since it uses less digits than its factorization.

11106005006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179129167 (or 179129151 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 11106005006000 its reverse (60050060111), we get a palindrome (11166055066111).

The spelling of 11106005006000 in words is "eleven trillion, one hundred six billion, five million, six thousand".