11170104660 has 768 divisors, whose sum is σ = 44219105280. Its totient is φ = 2299207680.

The previous prime is 11170104641. The next prime is 11170104661. The reversal of 11170104660 is 6640107111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11170104661) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87953517 + ... + 87953643.

It is an arithmetic number, because the mean of its divisors is an integer number (57576960).

Almost surely, 2^11170104660 is an apocalyptic number.

11170104660 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 11170104660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22109552640).

11170104660 is an abundant number, since it is smaller than the sum of its proper divisors (33049000620).

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

11170104660 is a wasteful number, since it uses less digits than its factorization.

11170104660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

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

The spelling of 11170104660 in words is "eleven billion, one hundred seventy million, one hundred four thousand, six hundred sixty".