11811038400 has 756 divisors, whose sum is σ = 51461471880. Its totient is φ = 2554675200.

The previous prime is 11811038399. The next prime is 11811038417. The reversal of 11811038400 is 483011811.

11811038400 is a `hidden beast` number, since 118 + 110 + 38 + 400 = 666.

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 107 ways as a sum of consecutive naturals, for example, 13405960 + ... + 13406840.

It is an arithmetic number, because the mean of its divisors is an integer number (68070730).

Almost surely, 2^11811038400 is an apocalyptic number.

11811038400 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 11811038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25730735940).

11811038400 is an abundant number, since it is smaller than the sum of its proper divisors (39650433480).

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

11811038400 is a wasteful number, since it uses less digits than its factorization.

11811038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 11811038400 in words is "eleven billion, eight hundred eleven million, thirty-eight thousand, four hundred".