11005017668256 has 48 divisors (see below), whose sum is σ = 30408601456800. Its totient is φ = 3475268736768.

The previous prime is 11005017668251. The next prime is 11005017668287. The reversal of 11005017668256 is 65286671050011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11005017668256² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11005017668251) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3016724511 + ... + 3016728158.

It is an arithmetic number, because the mean of its divisors is an integer number (633512530350).

Almost surely, 2^{11005017668256} is an apocalyptic number.

11005017668256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11005017668256 is an abundant number, since it is smaller than the sum of its proper divisors (19403583788544).

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

11005017668256 is a wasteful number, since it uses less digits than its factorization.

11005017668256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033452701 (or 6033452693 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 11005017668256 in words is "eleven trillion, five billion, seventeen million, six hundred sixty-eight thousand, two hundred fifty-six".