11581159680 has 360 divisors, whose sum is σ = 43627953600. Its totient is φ = 2925268992.

The previous prime is 11581159633. The next prime is 11581159727. The reversal of 11581159680 is 8695118511.

11581159680 is a `hidden beast` number, since 1 + 1 + 58 + 1 + 1 + 596 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11581159633) and next prime (11581159727).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1966981 + ... + 1972859.

It is an arithmetic number, because the mean of its divisors is an integer number (121188760).

Almost surely, 2^11581159680 is an apocalyptic number.

11581159680 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 11581159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21813976800).

11581159680 is an abundant number, since it is smaller than the sum of its proper divisors (32046793920).

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

11581159680 is an equidigital number, since it uses as much as digits as its factorization.

11581159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 45.

The spelling of 11581159680 in words is "eleven billion, five hundred eighty-one million, one hundred fifty-nine thousand, six hundred eighty".