11905582080 has 176 divisors, whose sum is σ = 43519547520. Its totient is φ = 2721251328.

The previous prime is 11905582067. The next prime is 11905582121. The reversal of 11905582080 is 8028550911.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52156 + ... + 162884.

Almost surely, 2^11905582080 is an apocalyptic number.

11905582080 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 11905582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21759773760).

11905582080 is an abundant number, since it is smaller than the sum of its proper divisors (31613965440).

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

11905582080 is a wasteful number, since it uses less digits than its factorization.

11905582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110764 (or 110746 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

The spelling of 11905582080 in words is "eleven billion, nine hundred five million, five hundred eighty-two thousand, eighty".