11952707788800 has 504 divisors, whose sum is σ = 42974425547040. Its totient is φ = 3175494451200.

The previous prime is 11952707788787. The next prime is 11952707788807. The reversal of 11952707788800 is 888770725911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11952707788807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 499495236 + ... + 499519164.

Almost surely, 2^{11952707788800} is an apocalyptic number.

11952707788800 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 11952707788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21487212773520).

11952707788800 is an abundant number, since it is smaller than the sum of its proper divisors (31021717758240).

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

11952707788800 is a wasteful number, since it uses less digits than its factorization.

11952707788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24242 (or 24210 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 63.

The spelling of 11952707788800 in words is "eleven trillion, nine hundred fifty-two billion, seven hundred seven million, seven hundred eighty-eight thousand, eight hundred".