11054361600 has 396 divisors, whose sum is σ = 41068862744. Its totient is φ = 2946170880.

The previous prime is 11054361569. The next prime is 11054361613. The reversal of 11054361600 is 616345011.

11054361600 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 43 + 616 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6219912 + ... + 6221688.

Almost surely, 2^11054361600 is an apocalyptic number.

11054361600 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 11054361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534431372).

11054361600 is an abundant number, since it is smaller than the sum of its proper divisors (30014501144).

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

11054361600 is an equidigital number, since it uses as much as digits as its factorization.

11054361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11054361600 in words is "eleven billion, fifty-four million, three hundred sixty-one thousand, six hundred".