11975884800 has 384 divisors, whose sum is σ = 43297139520. Its totient is φ = 2896691200.

The previous prime is 11975884771. The next prime is 11975884801. The reversal of 11975884800 is 848857911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11975884801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27033379 + ... + 27033821.

Almost surely, 2^11975884800 is an apocalyptic number.

11975884800 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 11975884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21648569760).

11975884800 is an abundant number, since it is smaller than the sum of its proper divisors (31321254720).

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

11975884800 is an equidigital number, since it uses as much as digits as its factorization.

11975884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 51.

The spelling of 11975884800 in words is "eleven billion, nine hundred seventy-five million, eight hundred eighty-four thousand, eight hundred".