2560563634356 has 144 divisors (see below), whose sum is σ = 7967425508224. Its totient is φ = 675209426688.

The previous prime is 2560563634319. The next prime is 2560563634361. The reversal of 2560563634356 is 6534363650652.

2560563634356 is a `hidden beast` number, since 2 + 560 + 5 + 6 + 36 + 3 + 43 + 5 + 6 = 666.

It is a super-2 number, since 2×2560563634356² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 22491930 + ... + 22605486.

Almost surely, 2^{2560563634356} is an apocalyptic number.

2560563634356 is a gapful number since it is divisible by the number (26) 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 2560563634356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983712754112).

2560563634356 is an abundant number, since it is smaller than the sum of its proper divisors (5406861873868).

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

2560563634356 is a wasteful number, since it uses less digits than its factorization.

2560563634356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120470 (or 120465 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 54.

The spelling of 2560563634356 in words is "two trillion, five hundred sixty billion, five hundred sixty-three million, six hundred thirty-four thousand, three hundred fifty-six".