11806545888 has 288 divisors, whose sum is σ = 37362124800. Its totient is φ = 3521000448.

The previous prime is 11806545871. The next prime is 11806545923. The reversal of 11806545888 is 88854560811.

11806545888 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 6 + 54 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7457545 + ... + 7459127.

It is an arithmetic number, because the mean of its divisors is an integer number (129729600).

Almost surely, 2^11806545888 is an apocalyptic number.

11806545888 is a gapful number since it is divisible by the number (18) 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 11806545888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681062400).

11806545888 is an abundant number, since it is smaller than the sum of its proper divisors (25555578912).

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

11806545888 is a wasteful number, since it uses less digits than its factorization.

11806545888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 11806545888 in words is "eleven billion, eight hundred six million, five hundred forty-five thousand, eight hundred eighty-eight".