11190130560 has 768 divisors, whose sum is σ = 48296102400. Its totient is φ = 2418647040.

The previous prime is 11190130547. The next prime is 11190130577. The reversal of 11190130560 is 6503109111.

11190130560 is a `hidden beast` number, since 1 + 1 + 1 + 90 + 13 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20683890 + ... + 20684430.

It is an arithmetic number, because the mean of its divisors is an integer number (62885550).

Almost surely, 2^11190130560 is an apocalyptic number.

11190130560 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 11190130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24148051200).

11190130560 is an abundant number, since it is smaller than the sum of its proper divisors (37105971840).

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

11190130560 is an equidigital number, since it uses as much as digits as its factorization.

11190130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

Adding to 11190130560 its reverse (6503109111), we get a palindrome (17693239671).

The spelling of 11190130560 in words is "eleven billion, one hundred ninety million, one hundred thirty thousand, five hundred sixty".