11170368000 has 960 divisors, whose sum is σ = 46007305344. Its totient is φ = 2580480000.

The previous prime is 11170367983. The next prime is 11170368029. The reversal of 11170368000 is 86307111.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259775979 + ... + 259776021.

Almost surely, 2^11170368000 is an apocalyptic number.

11170368000 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 11170368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23003652672).

11170368000 is an abundant number, since it is smaller than the sum of its proper divisors (34836937344).

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

11170368000 is a wasteful number, since it uses less digits than its factorization.

11170368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

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

The spelling of 11170368000 in words is "eleven billion, one hundred seventy million, three hundred sixty-eight thousand".