11126476800 has 234 divisors, whose sum is σ = 39855948002. Its totient is φ = 2966814720.

The previous prime is 11126476759. The next prime is 11126476819. The reversal of 11126476800 is 867462111.

It is a happy number.

11126476800 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 647 + 6 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 56070144 + 11070406656 = 7488^2 + 105216^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 915564 + ... + 927636.

Almost surely, 2^11126476800 is an apocalyptic number.

11126476800 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 11126476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927974001).

11126476800 is an abundant number, since it is smaller than the sum of its proper divisors (28729471202).

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

11126476800 is a wasteful number, since it uses less digits than its factorization.

11126476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12113 (or 12083 counting only the distinct ones).

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

The spelling of 11126476800 in words is "eleven billion, one hundred twenty-six million, four hundred seventy-six thousand, eight hundred".