11110296960 has 640 divisors, whose sum is σ = 48039013440. Its totient is φ = 2388787200.

The previous prime is 11110296929. The next prime is 11110296961. The reversal of 11110296960 is 6969201111.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110296961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6168060 + ... + 6169860.

Almost surely, 2^11110296960 is an apocalyptic number.

11110296960 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 11110296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24019506720).

11110296960 is an abundant number, since it is smaller than the sum of its proper divisors (36928716480).

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

11110296960 is a wasteful number, since it uses less digits than its factorization.

11110296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 11110296960 in words is "eleven billion, one hundred ten million, two hundred ninety-six thousand, nine hundred sixty".