11522580480 has 560 divisors, whose sum is σ = 43389523584. Its totient is φ = 2919628800.

The previous prime is 11522580479. The next prime is 11522580481. The reversal of 11522580480 is 8408522511.

11522580480 is a `hidden beast` number, since 1 + 1 + 522 + 58 + 0 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (11522580479) and next prime (11522580481).

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 (11522580481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76308405 + ... + 76308555.

Almost surely, 2^11522580480 is an apocalyptic number.

11522580480 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 11522580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21694761792).

11522580480 is an abundant number, since it is smaller than the sum of its proper divisors (31866943104).

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

11522580480 is an equidigital number, since it uses as much as digits as its factorization.

11522580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 11522580480 in words is "eleven billion, five hundred twenty-two million, five hundred eighty thousand, four hundred eighty".