11504655680 has 224 divisors, whose sum is σ = 32438132736. Its totient is φ = 3804143616.

The previous prime is 11504655671. The next prime is 11504655689. The reversal of 11504655680 is 8655640511.

11504655680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11504655671) and next prime (11504655689).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11504655689) 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 31 ways as a sum of consecutive naturals, for example, 10525214 + ... + 10526306.

Almost surely, 2^11504655680 is an apocalyptic number.

11504655680 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 11504655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219066368).

11504655680 is an abundant number, since it is smaller than the sum of its proper divisors (20933477056).

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

11504655680 is a wasteful number, since it uses less digits than its factorization.

11504655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 41.

The spelling of 11504655680 in words is "eleven billion, five hundred four million, six hundred fifty-five thousand, six hundred eighty".