11200117968 has 160 divisors (see below), whose sum is σ = 35738823680. Its totient is φ = 3334970880.

The previous prime is 11200117921. The next prime is 11200117979. The reversal of 11200117968 is 86971100211.

It is a Harshad number since it is a multiple of its sum of digits (36).

11200117968 is a modest number, since divided by 117968 gives 112 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141930 + ... + 206262.

It is an arithmetic number, because the mean of its divisors is an integer number (223367648).

Almost surely, 2^11200117968 is an apocalyptic number.

11200117968 is a gapful number since it is divisible by the number (18) 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 11200117968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17869411840).

11200117968 is an abundant number, since it is smaller than the sum of its proper divisors (24538705712).

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

11200117968 is a wasteful number, since it uses less digits than its factorization.

11200117968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64394 (or 64382 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 11200117968 in words is "eleven billion, two hundred million, one hundred seventeen thousand, nine hundred sixty-eight".