11527489980864 has 336 divisors, whose sum is σ = 38864449128960. Its totient is φ = 3220610181120.

The previous prime is 11527489980763. The next prime is 11527489980883. The reversal of 11527489980864 is 46808998472511.

11527489980864 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 7 + 489 + 9 + 80 + 8 + 64 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11527489980792 and 11527489980801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69023349 + ... + 69190155.

It is an arithmetic number, because the mean of its divisors is an integer number (115668003360).

Almost surely, 2^{11527489980864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11527489980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432224564480).

11527489980864 is an abundant number, since it is smaller than the sum of its proper divisors (27336959148096).

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

11527489980864 is a wasteful number, since it uses less digits than its factorization.

11527489980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167688 (or 167675 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 11527489980864 in words is "eleven trillion, five hundred twenty-seven billion, four hundred eighty-nine million, nine hundred eighty thousand, eight hundred sixty-four".