11006974008576 has 3456 divisors, whose sum is σ = 46283747328000. Its totient is φ = 2481472143360.

The previous prime is 11006974008551. The next prime is 11006974008647. The reversal of 11006974008576 is 67580047960011.

11006974008576 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 97 + 400 + 85 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 102868915915 + ... + 102868916021.

It is an arithmetic number, because the mean of its divisors is an integer number (13392288000).

Almost surely, 2^{11006974008576} is an apocalyptic number.

11006974008576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006974008576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23141873664000).

11006974008576 is an abundant number, since it is smaller than the sum of its proper divisors (35276773319424).

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

11006974008576 is a wasteful number, since it uses less digits than its factorization.

11006974008576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 11006974008576 in words is "eleven trillion, six billion, nine hundred seventy-four million, eight thousand, five hundred seventy-six".