12059635564800 has 1296 divisors, whose sum is σ = 45052226004240. Its totient is φ = 3075342336000.

The previous prime is 12059635564789. The next prime is 12059635564843. The reversal of 12059635564800 is 846553695021.

12059635564800 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 9 + 6 + 3 + 556 + 4 + 80 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 10073971298304 + 1985664266496 = 3173952^2 + 1409136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38043014242 + ... + 38043014558.

It is an arithmetic number, because the mean of its divisors is an integer number (34762520065).

Almost surely, 2^{12059635564800} is an apocalyptic number.

12059635564800 is a gapful number since it is divisible by the number (10) 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 12059635564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22526113002120).

12059635564800 is an abundant number, since it is smaller than the sum of its proper divisors (32992590439440).

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

12059635564800 is a wasteful number, since it uses less digits than its factorization.

12059635564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 12059635564800 in words is "twelve trillion, fifty-nine billion, six hundred thirty-five million, five hundred sixty-four thousand, eight hundred".