2561825592936 has 768 divisors, whose sum is σ = 8257406976000. Its totient is φ = 739770071040.

The previous prime is 2561825592881. The next prime is 2561825592947. The reversal of 2561825592936 is 6392955281652.

2561825592936 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 8 + 2 + 5 + 592 + 9 + 36 = 666.

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, 2343847206 + ... + 2343848298.

It is an arithmetic number, because the mean of its divisors is an integer number (10751832000).

Almost surely, 2^{2561825592936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561825592936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128703488000).

2561825592936 is an abundant number, since it is smaller than the sum of its proper divisors (5695581383064).

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

2561825592936 is a wasteful number, since it uses less digits than its factorization.

2561825592936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1260 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 2561825592936 in words is "two trillion, five hundred sixty-one billion, eight hundred twenty-five million, five hundred ninety-two thousand, nine hundred thirty-six".