11866521744 has 960 divisors, whose sum is σ = 47539814400. Its totient is φ = 2668723200.

The previous prime is 11866521731. The next prime is 11866521749. The reversal of 11866521744 is 44712566811.

11866521744 is a `hidden beast` number, since 1 + 1 + 86 + 6 + 521 + 7 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11866521744.

It is not an unprimeable number, because it can be changed into a prime (11866521749) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150209097 + ... + 150209175.

It is an arithmetic number, because the mean of its divisors is an integer number (49520640).

Almost surely, 2^11866521744 is an apocalyptic number.

11866521744 is a gapful number since it is divisible by the number (14) 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 11866521744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23769907200).

11866521744 is an abundant number, since it is smaller than the sum of its proper divisors (35673292656).

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

11866521744 is a wasteful number, since it uses less digits than its factorization.

11866521744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 11866521744 in words is "eleven billion, eight hundred sixty-six million, five hundred twenty-one thousand, seven hundred forty-four".