11352821760 has 624 divisors, whose sum is σ = 47062209600. Its totient is φ = 2588737536.

The previous prime is 11352821749. The next prime is 11352821761. The reversal of 11352821760 is 6712825311.

11352821760 is a `hidden beast` number, since 113 + 528 + 2 + 17 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11352821761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27094831 + ... + 27095249.

Almost surely, 2^11352821760 is an apocalyptic number.

11352821760 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 11352821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23531104800).

11352821760 is an abundant number, since it is smaller than the sum of its proper divisors (35709387840).

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

11352821760 is an equidigital number, since it uses as much as digits as its factorization.

11352821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11352821760 in words is "eleven billion, three hundred fifty-two million, eight hundred twenty-one thousand, seven hundred sixty".