2005564511412 has 216 divisors, whose sum is σ = 6435038675520. Its totient is φ = 520795941120.

The previous prime is 2005564511381. The next prime is 2005564511417. The reversal of 2005564511412 is 2141154655002.

2005564511412 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 5 + 645 + 1 + 1 + 4 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005564511417) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96369264 + ... + 96390072.

It is an arithmetic number, because the mean of its divisors is an integer number (29791845720).

Almost surely, 2^{2005564511412} is an apocalyptic number.

2005564511412 is a gapful number since it is divisible by the number (22) 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 2005564511412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217519337760).

2005564511412 is an abundant number, since it is smaller than the sum of its proper divisors (4429474164108).

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

2005564511412 is a wasteful number, since it uses less digits than its factorization.

2005564511412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25811 (or 25799 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 2005564511412 in words is "two trillion, five billion, five hundred sixty-four million, five hundred eleven thousand, four hundred twelve".