11082815788896 has 96 divisors (see below), whose sum is σ = 32854795596000. Its totient is φ = 3633710077440.

The previous prime is 11082815788867. The next prime is 11082815788963. The reversal of 11082815788896 is 69888751828011.

11082815788896 is a `hidden beast` number, since 110 + 8 + 281 + 5 + 78 + 88 + 96 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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, 105089371 + ... + 105194778.

It is an arithmetic number, because the mean of its divisors is an integer number (342237454125).

Almost surely, 2^{11082815788896} is an apocalyptic number.

11082815788896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11082815788896 is an abundant number, since it is smaller than the sum of its proper divisors (21771979807104).

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

11082815788896 is a wasteful number, since it uses less digits than its factorization.

11082815788896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210284229 (or 210284215 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 72.

The spelling of 11082815788896 in words is "eleven trillion, eighty-two billion, eight hundred fifteen million, seven hundred eighty-eight thousand, eight hundred ninety-six".