11055742600 has 144 divisors (see below), whose sum is σ = 31660646580. Its totient is φ = 3567513600.

The previous prime is 11055742597. The next prime is 11055742627. The reversal of 11055742600 is 624755011.

11055742600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2858613156 + 8197129444 = 53466^2 + 90538^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133420 + ... + 199780.

Almost surely, 2^11055742600 is an apocalyptic number.

11055742600 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 11055742600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15830323290).

11055742600 is an abundant number, since it is smaller than the sum of its proper divisors (20604903980).

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

11055742600 is a wasteful number, since it uses less digits than its factorization.

11055742600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66408 (or 66392 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 11055742600 in words is "eleven billion, fifty-five million, seven hundred forty-two thousand, six hundred".