11530522080 has 288 divisors, whose sum is σ = 49057602048. Its totient is φ = 2395929600.

The previous prime is 11530522067. The next prime is 11530522097. The reversal of 11530522080 is 8022503511.

It is a happy number.

11530522080 is a `hidden beast` number, since 1 + 1 + 530 + 52 + 2 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58885 + ... + 162875.

It is an arithmetic number, because the mean of its divisors is an integer number (170338896).

Almost surely, 2^11530522080 is an apocalyptic number.

11530522080 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 11530522080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24528801024).

11530522080 is an abundant number, since it is smaller than the sum of its proper divisors (37527079968).

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

11530522080 is a wasteful number, since it uses less digits than its factorization.

11530522080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104030 (or 104019 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 11530522080 in words is "eleven billion, five hundred thirty million, five hundred twenty-two thousand, eighty".