11521517760 has 280 divisors, whose sum is σ = 41136844320. Its totient is φ = 3060965376.

The previous prime is 11521517747. The next prime is 11521517809. The reversal of 11521517760 is 6771512511.

It is a happy number.

11521517760 is a `hidden beast` number, since 1 + 1 + 521 + 5 + 1 + 77 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8734381 + ... + 8735699.

Almost surely, 2^11521517760 is an apocalyptic number.

11521517760 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 11521517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20568422160).

11521517760 is an abundant number, since it is smaller than the sum of its proper divisors (29615326560).

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

11521517760 is a wasteful number, since it uses less digits than its factorization.

11521517760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 36.

The spelling of 11521517760 in words is "eleven billion, five hundred twenty-one million, five hundred seventeen thousand, seven hundred sixty".