11521287648 has 216 divisors, whose sum is σ = 35915226984. Its totient is φ = 3482680320.

The previous prime is 11521287637. The next prime is 11521287703. The reversal of 11521287648 is 84678212511.

11521287648 is a `hidden beast` number, since 1 + 1 + 521 + 2 + 87 + 6 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13931011 + ... + 13931837.

It is an arithmetic number, because the mean of its divisors is an integer number (166274199).

Almost surely, 2^11521287648 is an apocalyptic number.

11521287648 is a gapful number since it is divisible by the number (18) 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 11521287648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17957613492).

11521287648 is an abundant number, since it is smaller than the sum of its proper divisors (24393939336).

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

11521287648 is a wasteful number, since it uses less digits than its factorization.

11521287648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 906 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 11521287648 in words is "eleven billion, five hundred twenty-one million, two hundred eighty-seven thousand, six hundred forty-eight".