11956896000 has 720 divisors, whose sum is σ = 50928958080. Its totient is φ = 2728857600.

The previous prime is 11956895963. The next prime is 11956896001. The reversal of 11956896000 is 69865911.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11956896001) 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 79 ways as a sum of consecutive naturals, for example, 18143671 + ... + 18144329.

It is an arithmetic number, because the mean of its divisors is an integer number (70734664).

Almost surely, 2^11956896000 is an apocalyptic number.

11956896000 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 11956896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25464479040).

11956896000 is an abundant number, since it is smaller than the sum of its proper divisors (38972062080).

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

11956896000 is an frugal number, since it uses more digits than its factorization.

11956896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11956896000 in words is "eleven billion, nine hundred fifty-six million, eight hundred ninety-six thousand".