11610170880 has 640 divisors, whose sum is σ = 47941217280. Its totient is φ = 2325872640.

The previous prime is 11610170867. The next prime is 11610170969. The reversal of 11610170880 is 8807101611.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17149102 + ... + 17149778.

It is an arithmetic number, because the mean of its divisors is an integer number (74908152).

Almost surely, 2^11610170880 is an apocalyptic number.

11610170880 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 11610170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23970608640).

11610170880 is an abundant number, since it is smaller than the sum of its proper divisors (36331046400).

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

11610170880 is a wasteful number, since it uses less digits than its factorization.

11610170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 33.

The spelling of 11610170880 in words is "eleven billion, six hundred ten million, one hundred seventy thousand, eight hundred eighty".