11760192000 has 480 divisors, whose sum is σ = 44886997584. Its totient is φ = 2949120000.

The previous prime is 11760191953. The next prime is 11760192007. The reversal of 11760192000 is 29106711.

It can be written as a sum of positive squares in 8 ways, for example, as 23503104 + 11736688896 = 4848^2 + 108336^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (11760192007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9791400 + ... + 9792600.

Almost surely, 2^11760192000 is an apocalyptic number.

11760192000 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 11760192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22443498792).

11760192000 is an abundant number, since it is smaller than the sum of its proper divisors (33126805584).

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

11760192000 is a wasteful number, since it uses less digits than its factorization.

11760192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

Adding to 11760192000 its reverse (29106711), we get a palindrome (11789298711).

The spelling of 11760192000 in words is "eleven billion, seven hundred sixty million, one hundred ninety-two thousand".