11788576800 has 864 divisors, whose sum is σ = 52515013824. Its totient is φ = 2257920000.

The previous prime is 11788576757. The next prime is 11788576819. The reversal of 11788576800 is 867588711.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16816450 + ... + 16817150.

It is an arithmetic number, because the mean of its divisors is an integer number (60781266).

Almost surely, 2^11788576800 is an apocalyptic number.

11788576800 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 11788576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26257506912).

11788576800 is an abundant number, since it is smaller than the sum of its proper divisors (40726437024).

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

11788576800 is a wasteful number, since it uses less digits than its factorization.

11788576800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 51.

The spelling of 11788576800 in words is "eleven billion, seven hundred eighty-eight million, five hundred seventy-six thousand, eight hundred".