11580140880 has 240 divisors, whose sum is σ = 48486432384. Its totient is φ = 2406251520.

The previous prime is 11580140879. The next prime is 11580140893. The reversal of 11580140880 is 8804108511.

It is a happy number.

11580140880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48999 + ... + 159878.

Almost surely, 2^11580140880 is an apocalyptic number.

11580140880 is a gapful number since it is divisible by the number (10) 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 11580140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24243216192).

11580140880 is an abundant number, since it is smaller than the sum of its proper divisors (36906291504).

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

11580140880 is a wasteful number, since it uses less digits than its factorization.

11580140880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208914 (or 208905 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 11580140880 in words is "eleven billion, five hundred eighty million, one hundred forty thousand, eight hundred eighty".