11050416720 has 480 divisors, whose sum is σ = 44977121280. Its totient is φ = 2375101440.

The previous prime is 11050416709. The next prime is 11050416809. The reversal of 11050416720 is 2761405011.

It is a happy number.

11050416720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11050416720² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 15991575 + ... + 15992265.

It is an arithmetic number, because the mean of its divisors is an integer number (93702336).

Almost surely, 2^11050416720 is an apocalyptic number.

11050416720 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 11050416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22488560640).

11050416720 is an abundant number, since it is smaller than the sum of its proper divisors (33926704560).

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

11050416720 is a wasteful number, since it uses less digits than its factorization.

11050416720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 11050416720 in words is "eleven billion, fifty million, four hundred sixteen thousand, seven hundred twenty".