12027557735424 has 1408 divisors, whose sum is σ = 47336439398400. Its totient is φ = 2958811545600.

The previous prime is 12027557735393. The next prime is 12027557735447. The reversal of 12027557735424 is 42453775572021.

12027557735424 is a `hidden beast` number, since 1 + 2 + 0 + 27 + 5 + 5 + 7 + 73 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3276369109 + ... + 3276372779.

Almost surely, 2^{12027557735424} is an apocalyptic number.

12027557735424 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 12027557735424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23668219699200).

12027557735424 is an abundant number, since it is smaller than the sum of its proper divisors (35308881662976).

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

12027557735424 is an equidigital number, since it uses as much as digits as its factorization.

12027557735424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 12027557735424 in words is "twelve trillion, twenty-seven billion, five hundred fifty-seven million, seven hundred thirty-five thousand, four hundred twenty-four".