11123618400 has 864 divisors, whose sum is σ = 44327162880. Its totient is φ = 2612736000.

The previous prime is 11123618383. The next prime is 11123618411. The reversal of 11123618400 is 481632111.

It is a happy number.

11123618400 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 3 + 618 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 182354370 + ... + 182354430.

Almost surely, 2^11123618400 is an apocalyptic number.

11123618400 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 11123618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22163581440).

11123618400 is an abundant number, since it is smaller than the sum of its proper divisors (33203544480).

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

11123618400 is a wasteful number, since it uses less digits than its factorization.

11123618400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11123618400 in words is "eleven billion, one hundred twenty-three million, six hundred eighteen thousand, four hundred".