11775288000 has 1344 divisors, whose sum is σ = 52037406720. Its totient is φ = 2322432000.

The previous prime is 11775287987. The next prime is 11775288011. The reversal of 11775288000 is 88257711.

11775288000 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 (1344).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11775288000.

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 191 ways as a sum of consecutive naturals, for example, 379847985 + ... + 379848015.

Almost surely, 2^11775288000 is an apocalyptic number.

11775288000 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 11775288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26018703360).

11775288000 is an abundant number, since it is smaller than the sum of its proper divisors (40262118720).

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

11775288000 is a wasteful number, since it uses less digits than its factorization.

11775288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 39.

The spelling of 11775288000 in words is "eleven billion, seven hundred seventy-five million, two hundred eighty-eight thousand".