11532525708816 has 320 divisors, whose sum is σ = 39149352614400. Its totient is φ = 3180309350400.

The previous prime is 11532525708799. The next prime is 11532525708839. The reversal of 11532525708816 is 61880752523511.

11532525708816 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 2 + 52 + 570 + 8 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278940306 + ... + 278981646.

It is an arithmetic number, because the mean of its divisors is an integer number (122341726920).

Almost surely, 2^{11532525708816} is an apocalyptic number.

11532525708816 is a gapful number since it is divisible by the number (16) 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 11532525708816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19574676307200).

11532525708816 is an abundant number, since it is smaller than the sum of its proper divisors (27616826905584).

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

11532525708816 is a wasteful number, since it uses less digits than its factorization.

11532525708816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44575 (or 44563 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 11532525708816 in words is "eleven trillion, five hundred thirty-two billion, five hundred twenty-five million, seven hundred eight thousand, eight hundred sixteen".