2559266797880 has 384 divisors, whose sum is σ = 6793756416000. Its totient is φ = 863987005440.

The previous prime is 2559266797853. The next prime is 2559266797883. The reversal of 2559266797880 is 887976629552.

It is a junction number, because it is equal to n+sod(n) for n = 2559266797798 and 2559266797807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559266797883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2082397106 + ... + 2082398334.

It is an arithmetic number, because the mean of its divisors is an integer number (17692074000).

Almost surely, 2^{2559266797880} is an apocalyptic number.

2559266797880 is a gapful number since it is divisible by the number (20) 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 2559266797880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396878208000).

2559266797880 is an abundant number, since it is smaller than the sum of its proper divisors (4234489618120).

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

2559266797880 is a wasteful number, since it uses less digits than its factorization.

2559266797880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 74.

The spelling of 2559266797880 in words is "two trillion, five hundred fifty-nine billion, two hundred sixty-six million, seven hundred ninety-seven thousand, eight hundred eighty".