11528761010880 has 224 divisors, whose sum is σ = 37951058626560. Its totient is φ = 2962055946240.

The previous prime is 11528761010831. The next prime is 11528761010881. The reversal of 11528761010880 is 8801016782511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11528761010881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5902236 + ... + 7608804.

Almost surely, 2^{11528761010880} is an apocalyptic number.

11528761010880 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 11528761010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18975529313280).

11528761010880 is an abundant number, since it is smaller than the sum of its proper divisors (26422297615680).

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

11528761010880 is a wasteful number, since it uses less digits than its factorization.

11528761010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706847 (or 1706837 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 48.

The spelling of 11528761010880 in words is "eleven trillion, five hundred twenty-eight billion, seven hundred sixty-one million, ten thousand, eight hundred eighty".