2088688208256 has 480 divisors, whose sum is σ = 6948133283520. Its totient is φ = 621925724160.

The previous prime is 2088688208237. The next prime is 2088688208263. The reversal of 2088688208256 is 6528028868802.

2088688208256 is a `hidden beast` number, since 20 + 8 + 86 + 88 + 208 + 256 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2088688208193 and 2088688208202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54298726 + ... + 54337178.

It is an arithmetic number, because the mean of its divisors is an integer number (14475277674).

Almost surely, 2^{2088688208256} is an apocalyptic number.

2088688208256 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 2088688208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474066641760).

2088688208256 is an abundant number, since it is smaller than the sum of its proper divisors (4859445075264).

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

2088688208256 is a wasteful number, since it uses less digits than its factorization.

2088688208256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38536 (or 38502 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 2088688208256 in words is "two trillion, eighty-eight billion, six hundred eighty-eight million, two hundred eight thousand, two hundred fifty-six".