11580215988480 has 288 divisors, whose sum is σ = 37506647808000. Its totient is φ = 3044597391360.

The previous prime is 11580215988461. The next prime is 11580215988487. The reversal of 11580215988480 is 8488951208511.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (11580215988487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156454521 + ... + 156528519.

It is an arithmetic number, because the mean of its divisors is an integer number (130231416000).

Almost surely, 2^{11580215988480} is an apocalyptic number.

11580215988480 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 11580215988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18753323904000).

11580215988480 is an abundant number, since it is smaller than the sum of its proper divisors (25926431819520).

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

11580215988480 is an equidigital number, since it uses as much as digits as its factorization.

11580215988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74597 (or 74583 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 60.

The spelling of 11580215988480 in words is "eleven trillion, five hundred eighty billion, two hundred fifteen million, nine hundred eighty-eight thousand, four hundred eighty".