11054534400 has 1728 divisors, whose sum is σ = 53935436800. Its totient is φ = 2149908480.

The previous prime is 11054534399. The next prime is 11054534441. The reversal of 11054534400 is 443545011.

It is a happy number.

11054534400 is a `hidden beast` number, since 110 + 545 + 3 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 298771182 + ... + 298771218.

Almost surely, 2^11054534400 is an apocalyptic number.

11054534400 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 11054534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26967718400).

11054534400 is an abundant number, since it is smaller than the sum of its proper divisors (42880902400).

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

11054534400 is a wasteful number, since it uses less digits than its factorization.

11054534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 11054534400 in words is "eleven billion, fifty-four million, five hundred thirty-four thousand, four hundred".