11788624000 has 128 divisors (see below), whose sum is σ = 29713909680. Its totient is φ = 4650393600.

The previous prime is 11788623953. The next prime is 11788624009. The reversal of 11788624000 is 42688711.

It can be written as a sum of positive squares in 8 ways, for example, as 554319936 + 11234304064 = 23544^2 + 105992^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11788624009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1162954 + ... + 1173046.

Almost surely, 2^11788624000 is an apocalyptic number.

11788624000 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 11788624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856954840).

11788624000 is an abundant number, since it is smaller than the sum of its proper divisors (17925285680).

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

11788624000 is an equidigital number, since it uses as much as digits as its factorization.

11788624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10195 (or 10173 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 11788624000 in words is "eleven billion, seven hundred eighty-eight million, six hundred twenty-four thousand".