11126764800 has 432 divisors, whose sum is σ = 42960792000. Its totient is φ = 2810142720.

The previous prime is 11126764793. The next prime is 11126764811. The reversal of 11126764800 is 846762111.

It is a happy number.

11126764800 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 6 + 7 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3281506 + ... + 3284894.

Almost surely, 2^11126764800 is an apocalyptic number.

11126764800 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 11126764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21480396000).

11126764800 is an abundant number, since it is smaller than the sum of its proper divisors (31834027200).

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

11126764800 is a wasteful number, since it uses less digits than its factorization.

11126764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11126764800 in words is "eleven billion, one hundred twenty-six million, seven hundred sixty-four thousand, eight hundred".