12053606533920 has 864 divisors, whose sum is σ = 48456091298160. Its totient is φ = 2720218152960.

The previous prime is 12053606533883. The next prime is 12053606533931. The reversal of 12053606533920 is 2933560635021.

It is a happy number.

12053606533920 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 3 + 606 + 5 + 3 + 39 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9738668627856 + 2314937906064 = 3120684^2 + 1521492^2 .

It is a super-2 number, since 2×12053606533920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8295667914 + ... + 8295669366.

Almost surely, 2^{12053606533920} is an apocalyptic number.

12053606533920 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 12053606533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24228045649080).

12053606533920 is an abundant number, since it is smaller than the sum of its proper divisors (36402484764240).

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

12053606533920 is a wasteful number, since it uses less digits than its factorization.

12053606533920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 12053606533920 in words is "twelve trillion, fifty-three billion, six hundred six million, five hundred thirty-three thousand, nine hundred twenty".