256653353088 has 1024 divisors, whose sum is σ = 913711104000. Its totient is φ = 70044549120.

The previous prime is 256653353083. The next prime is 256653353119. The reversal of 256653353088 is 880353356652.

256653353088 is a `hidden beast` number, since 2 + 56 + 6 + 53 + 3 + 530 + 8 + 8 = 666.

256653353088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (256653353083) 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 127 ways as a sum of consecutive naturals, for example, 2020892481 + ... + 2020892607.

It is an arithmetic number, because the mean of its divisors is an integer number (892296000).

Almost surely, 2^256653353088 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 256653353088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456855552000).

256653353088 is an abundant number, since it is smaller than the sum of its proper divisors (657057750912).

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

256653353088 is a wasteful number, since it uses less digits than its factorization.

256653353088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 256653353088 in words is "two hundred fifty-six billion, six hundred fifty-three million, three hundred fifty-three thousand, eighty-eight".