11784906400 has 36 divisors (see below), whose sum is σ = 28769904702. Its totient is φ = 4713962240.

The previous prime is 11784906373. The next prime is 11784906421. The reversal of 11784906400 is 460948711.

It can be written as a sum of positive squares in 3 ways, for example, as 10901865744 + 883040656 = 104412^2 + 29716^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7364767 + ... + 7366366.

Almost surely, 2^11784906400 is an apocalyptic number.

11784906400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11784906400 is an abundant number, since it is smaller than the sum of its proper divisors (16984998302).

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

11784906400 is a wasteful number, since it uses less digits than its factorization.

11784906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14731153 (or 14731140 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 11784906400 in words is "eleven billion, seven hundred eighty-four million, nine hundred six thousand, four hundred".