12027578886400 has 729 divisors, whose sum is σ = 38132735157993. Its totient is φ = 3742197043200.

The previous prime is 12027578886383. The next prime is 12027578886413. The reversal of 12027578886400 is 468887572021.

It is a happy number.

The square root of 12027578886400 is 3468080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4329928399104 + 7697650487296 = 2080848^2 + 2774464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21363372519 + ... + 21363373081.

Almost surely, 2^{12027578886400} is an apocalyptic number.

12027578886400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12027578886400 is the 3468080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12027578886400

12027578886400 is an abundant number, since it is smaller than the sum of its proper divisors (26105156271593).

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

12027578886400 is an frugal number, since it uses more digits than its factorization.

12027578886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 58.

The spelling of 12027578886400 in words is "twelve trillion, twenty-seven billion, five hundred seventy-eight million, eight hundred eighty-six thousand, four hundred".