11611290880 has 288 divisors, whose sum is σ = 33112800000. Its totient is φ = 3898073088.

The previous prime is 11611290857. The next prime is 11611290907. The reversal of 11611290880 is 8809211611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23268871 + ... + 23269369.

It is an arithmetic number, because the mean of its divisors is an integer number (114975000).

Almost surely, 2^11611290880 is an apocalyptic number.

11611290880 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 11611290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556400000).

11611290880 is an abundant number, since it is smaller than the sum of its proper divisors (21501509120).

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

11611290880 is an frugal number, since it uses more digits than its factorization.

11611290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 37.

The spelling of 11611290880 in words is "eleven billion, six hundred eleven million, two hundred ninety thousand, eight hundred eighty".