2005567560864 has 1152 divisors, whose sum is σ = 7167640596480. Its totient is φ = 539788271616.

The previous prime is 2005567560833. The next prime is 2005567560883. The reversal of 2005567560864 is 4680657655002.

2005567560864 is a `hidden beast` number, since 2 + 0 + 0 + 556 + 7 + 5 + 6 + 0 + 86 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2005567560864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12009386509 + ... + 12009386675.

It is an arithmetic number, because the mean of its divisors is an integer number (6221910240).

Almost surely, 2^{2005567560864} is an apocalyptic number.

2005567560864 is a gapful number since it is divisible by the number (24) 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 2005567560864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583820298240).

2005567560864 is an abundant number, since it is smaller than the sum of its proper divisors (5162073035616).

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

2005567560864 is a wasteful number, since it uses less digits than its factorization.

2005567560864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 2005567560864 in words is "two trillion, five billion, five hundred sixty-seven million, five hundred sixty thousand, eight hundred sixty-four".