11056749849600 has 2112 divisors, whose sum is σ = 47110736719872. Its totient is φ = 2224816128000.

The previous prime is 11056749849599. The next prime is 11056749849631. The reversal of 11056749849600 is 694894765011.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 191 ways as a sum of consecutive naturals, for example, 13467417190 + ... + 13467418010.

Almost surely, 2^{11056749849600} is an apocalyptic number.

11056749849600 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 11056749849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23555368359936).

11056749849600 is an abundant number, since it is smaller than the sum of its proper divisors (36053986870272).

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

11056749849600 is a wasteful number, since it uses less digits than its factorization.

11056749849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 11056749849600 in words is "eleven trillion, fifty-six billion, seven hundred forty-nine million, eight hundred forty-nine thousand, six hundred".