11057772960 has 288 divisors, whose sum is σ = 41100106320. Its totient is φ = 2690924544.

The previous prime is 11057772941. The next prime is 11057772967. The reversal of 11057772960 is 6927775011.

11057772960 is a `hidden beast` number, since 1 + 1 + 0 + 577 + 72 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5035536 + 11052737424 = 2244^2 + 105132^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11057772967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1662762 + ... + 1669398.

Almost surely, 2^11057772960 is an apocalyptic number.

11057772960 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 11057772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20550053160).

11057772960 is an abundant number, since it is smaller than the sum of its proper divisors (30042333360).

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

11057772960 is a wasteful number, since it uses less digits than its factorization.

11057772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 11057772960 in words is "eleven billion, fifty-seven million, seven hundred seventy-two thousand, nine hundred sixty".