256835190528 has 288 divisors, whose sum is σ = 919070046720. Its totient is φ = 69064704000.

The previous prime is 256835190503. The next prime is 256835190541. The reversal of 256835190528 is 825091538652.

It is a happy number.

256835190528 is a `hidden beast` number, since 2 + 5 + 68 + 3 + 51 + 9 + 0 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666403 + ... + 978653.

It is an arithmetic number, because the mean of its divisors is an integer number (3191215440).

Almost surely, 2^256835190528 is an apocalyptic number.

256835190528 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 256835190528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459535023360).

256835190528 is an abundant number, since it is smaller than the sum of its proper divisors (662234856192).

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

256835190528 is a wasteful number, since it uses less digits than its factorization.

256835190528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312300 (or 312280 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 256835190528 in words is "two hundred fifty-six billion, eight hundred thirty-five million, one hundred ninety thousand, five hundred twenty-eight".