11772288000 has 528 divisors, whose sum is σ = 46328686560. Its totient is φ = 2850816000.

The previous prime is 11772287971. The next prime is 11772288013. The reversal of 11772288000 is 88227711.

It is a happy number.

11772288000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12671536 + ... + 12672464.

Almost surely, 2^11772288000 is an apocalyptic number.

11772288000 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 11772288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23164343280).

11772288000 is an abundant number, since it is smaller than the sum of its proper divisors (34556398560).

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

11772288000 is a wasteful number, since it uses less digits than its factorization.

11772288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 11772288000 in words is "eleven billion, seven hundred seventy-two million, two hundred eighty-eight thousand".