11970117792 has 576 divisors, whose sum is σ = 40577531904. Its totient is φ = 3448811520.

The previous prime is 11970117763. The next prime is 11970117793. The reversal of 11970117792 is 29771107911.

It is not an unprimeable number, because it can be changed into a prime (11970117793) 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 95 ways as a sum of consecutive naturals, for example, 94252833 + ... + 94252959.

It is an arithmetic number, because the mean of its divisors is an integer number (70447104).

Almost surely, 2^11970117792 is an apocalyptic number.

11970117792 is a gapful number since it is divisible by the number (12) 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 11970117792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20288765952).

11970117792 is an abundant number, since it is smaller than the sum of its proper divisors (28607414112).

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

11970117792 is a wasteful number, since it uses less digits than its factorization.

11970117792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 45.

The spelling of 11970117792 in words is "eleven billion, nine hundred seventy million, one hundred seventeen thousand, seven hundred ninety-two".