11775652560 has 960 divisors, whose sum is σ = 50536765440. Its totient is φ = 2508226560.

The previous prime is 11775652549. The next prime is 11775652561. The reversal of 11775652560 is 6525657711.

11775652560 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 565 + 25 + 60 = 666.

11775652560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11775652561) by changing a digit.

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, 121398432 + ... + 121398528.

It is an arithmetic number, because the mean of its divisors is an integer number (52642464).

Almost surely, 2^11775652560 is an apocalyptic number.

11775652560 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 11775652560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25268382720).

11775652560 is an abundant number, since it is smaller than the sum of its proper divisors (38761112880).

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

11775652560 is a wasteful number, since it uses less digits than its factorization.

11775652560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 11775652560 in words is "eleven billion, seven hundred seventy-five million, six hundred fifty-two thousand, five hundred sixty".