11987309656224 has 1152 divisors, whose sum is σ = 42592822272000. Its totient is φ = 3267645566976.

The previous prime is 11987309656213. The next prime is 11987309656237. The reversal of 11987309656224 is 42265690378911.

11987309656224 is a `hidden beast` number, since 1 + 19 + 8 + 7 + 30 + 9 + 6 + 562 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25025698417 + ... + 25025698895.

It is an arithmetic number, because the mean of its divisors is an integer number (36972936000).

It is a 1-persistent number, because it is pandigital, but 2⋅11987309656224 = 23974619312448 is not.

Almost surely, 2^{11987309656224} is an apocalyptic number.

11987309656224 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 11987309656224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21296411136000).

11987309656224 is an abundant number, since it is smaller than the sum of its proper divisors (30605512615776).

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

11987309656224 is a wasteful number, since it uses less digits than its factorization.

11987309656224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 11987309656224 in words is "eleven trillion, nine hundred eighty-seven billion, three hundred nine million, six hundred fifty-six thousand, two hundred twenty-four".