11580641280 has 624 divisors, whose sum is σ = 45080642880. Its totient is φ = 2834694144.

The previous prime is 11580641251. The next prime is 11580641287. The reversal of 11580641280 is 8214608511.

11580641280 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 0 + 641 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×11580641280² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11580641287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64696231 + ... + 64696409.

It is an arithmetic number, because the mean of its divisors is an integer number (72244620).

Almost surely, 2^11580641280 is an apocalyptic number.

11580641280 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 11580641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22540321440).

11580641280 is an abundant number, since it is smaller than the sum of its proper divisors (33500001600).

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

11580641280 is an equidigital number, since it uses as much as digits as its factorization.

11580641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 11580641280 in words is "eleven billion, five hundred eighty million, six hundred forty-one thousand, two hundred eighty".