255611075616 has 144 divisors (see below), whose sum is σ = 790880237784. Its totient is φ = 77838630912.

The previous prime is 255611075567. The next prime is 255611075623. The reversal of 255611075616 is 616570116552.

It is a happy number.

255611075616 is a `hidden beast` number, since 2 + 5 + 561 + 1 + 0 + 75 + 6 + 16 = 666.

255611075616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 228847424400 + 26763651216 = 478380^2 + 163596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11250 + ... + 715086.

Almost surely, 2^255611075616 is an apocalyptic number.

255611075616 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 255611075616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395440118892).

255611075616 is an abundant number, since it is smaller than the sum of its proper divisors (535269162168).

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

255611075616 is a wasteful number, since it uses less digits than its factorization.

255611075616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703963 (or 703952 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 255611075616 in words is "two hundred fifty-five billion, six hundred eleven million, seventy-five thousand, six hundred sixteen".