11054911185696 has 96 divisors (see below), whose sum is σ = 33181083008640. Its totient is φ = 3156988962816.

The previous prime is 11054911185653. The next prime is 11054911185697. The reversal of 11054911185696 is 69658111945011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-5 number, since 5×11054911185696⁵ (a number of 66 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11054911185697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2690421 + ... + 5417396.

It is an arithmetic number, because the mean of its divisors is an integer number (345636281340).

Almost surely, 2^{11054911185696} is an apocalyptic number.

11054911185696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11054911185696 is an abundant number, since it is smaller than the sum of its proper divisors (22126171822944).

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

11054911185696 is a wasteful number, since it uses less digits than its factorization.

11054911185696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8109866 (or 8109858 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 57.

The spelling of 11054911185696 in words is "eleven trillion, fifty-four billion, nine hundred eleven million, one hundred eighty-five thousand, six hundred ninety-six".