11754904800 has 144 divisors (see below), whose sum is σ = 40276172160. Its totient is φ = 2969648640.

The previous prime is 11754904783. The next prime is 11754904801. The reversal of 11754904800 is 840945711.

11754904800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11754904801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 83292 + ... + 174491.

It is an arithmetic number, because the mean of its divisors is an integer number (279695640).

Almost surely, 2^11754904800 is an apocalyptic number.

11754904800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11754904800 is an abundant number, since it is smaller than the sum of its proper divisors (28521267360).

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

11754904800 is a wasteful number, since it uses less digits than its factorization.

11754904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257825 (or 257812 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 11754904800 in words is "eleven billion, seven hundred fifty-four million, nine hundred four thousand, eight hundred".