2559377088688 has 80 divisors (see below), whose sum is σ = 5855044110336. Its totient is φ = 1060578408960.

The previous prime is 2559377088649. The next prime is 2559377088707. The reversal of 2559377088688 is 8868807739552.

It is a super-2 number, since 2×2559377088688² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3721020 + ... + 4354852.

Almost surely, 2^{2559377088688} is an apocalyptic number.

2559377088688 is a gapful number since it is divisible by the number (28) 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 2559377088688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927522055168).

2559377088688 is an abundant number, since it is smaller than the sum of its proper divisors (3295667021648).

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

2559377088688 is a wasteful number, since it uses less digits than its factorization.

2559377088688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635042 (or 635036 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 76.

The spelling of 2559377088688 in words is "two trillion, five hundred fifty-nine billion, three hundred seventy-seven million, eighty-eight thousand, six hundred eighty-eight".