2560723513977 has 16 divisors (see below), whose sum is σ = 3507025429440. Its totient is φ = 1660797122112.

The previous prime is 2560723513969. The next prime is 2560723514009. The reversal of 2560723513977 is 7793153270652.

2560723513977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2560723513977 - 2³ = 2560723513969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2560723513177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604323 + ... + 2342360.

It is an arithmetic number, because the mean of its divisors is an integer number (219189089340).

Almost surely, 2^{2560723513977} is an apocalyptic number.

It is an amenable number.

2560723513977 is a deficient number, since it is larger than the sum of its proper divisors (946301915463).

2560723513977 is a wasteful number, since it uses less digits than its factorization.

2560723513977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954552.

The product of its (nonzero) digits is 16669800, while the sum is 57.

The spelling of 2560723513977 in words is "two trillion, five hundred sixty billion, seven hundred twenty-three million, five hundred thirteen thousand, nine hundred seventy-seven".