11188800000 has 960 divisors, whose sum is σ = 48589390080. Its totient is φ = 2488320000.

The previous prime is 11188799989. The next prime is 11188800017. The reversal of 11188800000 is 888111.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302399982 + ... + 302400018.

It is an arithmetic number, because the mean of its divisors is an integer number (50613948).

Almost surely, 2^11188800000 is an apocalyptic number.

11188800000 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 11188800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24294695040).

11188800000 is an abundant number, since it is smaller than the sum of its proper divisors (37400590080).

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

11188800000 is an frugal number, since it uses more digits than its factorization.

11188800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The spelling of 11188800000 in words is "eleven billion, one hundred eighty-eight million, eight hundred thousand".