11730106080 has 1152 divisors, whose sum is σ = 54344908800. Its totient is φ = 2275983360.

The previous prime is 11730106061. The next prime is 11730106117. The reversal of 11730106080 is 8060103711.

11730106080 is a `hidden beast` number, since 1 + 17 + 30 + 10 + 608 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92362977 + ... + 92363103.

It is an arithmetic number, because the mean of its divisors is an integer number (47174400).

Almost surely, 2^11730106080 is an apocalyptic number.

11730106080 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 11730106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172454400).

11730106080 is an abundant number, since it is smaller than the sum of its proper divisors (42614802720).

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

11730106080 is a wasteful number, since it uses less digits than its factorization.

11730106080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 11730106080 its reverse (8060103711), we get a palindrome (19790209791).

The spelling of 11730106080 in words is "eleven billion, seven hundred thirty million, one hundred six thousand, eighty".