11054141200 has 240 divisors, whose sum is σ = 29758095360. Its totient is φ = 3926016000.

The previous prime is 11054141173. The next prime is 11054141249. The reversal of 11054141200 is 214145011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8642161 + ... + 8643439.

It is an arithmetic number, because the mean of its divisors is an integer number (123992064).

Almost surely, 2^11054141200 is an apocalyptic number.

11054141200 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 11054141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14879047680).

11054141200 is an abundant number, since it is smaller than the sum of its proper divisors (18703954160).

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

11054141200 is a wasteful number, since it uses less digits than its factorization.

11054141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 11054141200 its reverse (214145011), we get a palindrome (11268286211).

The spelling of 11054141200 in words is "eleven billion, fifty-four million, one hundred forty-one thousand, two hundred".