11117736960 has 352 divisors, whose sum is σ = 40147401600. Its totient is φ = 2601123840.

The previous prime is 11117736869. The next prime is 11117736967. The reversal of 11117736960 is 6963771111.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×11117736960³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11117736967) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4898706 + ... + 4900974.

Almost surely, 2^11117736960 is an apocalyptic number.

11117736960 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 11117736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073700800).

11117736960 is an abundant number, since it is smaller than the sum of its proper divisors (29029664640).

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

11117736960 is a wasteful number, since it uses less digits than its factorization.

11117736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 42.

The spelling of 11117736960 in words is "eleven billion, one hundred seventeen million, seven hundred thirty-six thousand, nine hundred sixty".