110128505256 has 1280 divisors, whose sum is σ = 436199385600. Its totient is φ = 25291284480.

The previous prime is 110128505233. The next prime is 110128505317. The reversal of 110128505256 is 652505821011.

110128505256 is a `hidden beast` number, since 1 + 1 + 0 + 128 + 5 + 0 + 525 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 110128505256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2976446070 + ... + 2976446106.

It is an arithmetic number, because the mean of its divisors is an integer number (340780770).

Almost surely, 2^110128505256 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 110128505256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218099692800).

110128505256 is an abundant number, since it is smaller than the sum of its proper divisors (326070880344).

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

110128505256 is a wasteful number, since it uses less digits than its factorization.

110128505256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 110128505256 in words is "one hundred ten billion, one hundred twenty-eight million, five hundred five thousand, two hundred fifty-six".