11577981888 has 168 divisors, whose sum is σ = 37544532480. Its totient is φ = 3508427520.

The previous prime is 11577981887. The next prime is 11577981893. The reversal of 11577981888 is 88818977511.

11577981888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11577981881) 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 23 ways as a sum of consecutive naturals, for example, 137233 + ... + 204911.

It is an arithmetic number, because the mean of its divisors is an integer number (223479360).

Almost surely, 2^11577981888 is an apocalyptic number.

11577981888 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 11577981888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772266240).

11577981888 is an abundant number, since it is smaller than the sum of its proper divisors (25966550592).

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

11577981888 is an equidigital number, since it uses as much as digits as its factorization.

11577981888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67717 (or 67695 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 63.

The spelling of 11577981888 in words is "eleven billion, five hundred seventy-seven million, nine hundred eighty-one thousand, eight hundred eighty-eight".