256298598360 has 1536 divisors, whose sum is σ = 1092123648000. Its totient is φ = 53156404224.

The previous prime is 256298598331. The next prime is 256298598379. The reversal of 256298598360 is 63895892652.

256298598360 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 9 + 8 + 598 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3087934879 + ... + 3087934961.

It is an arithmetic number, because the mean of its divisors is an integer number (711018000).

Almost surely, 2^256298598360 is an apocalyptic number.

256298598360 is a gapful number since it is divisible by the number (20) 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 256298598360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546061824000).

256298598360 is an abundant number, since it is smaller than the sum of its proper divisors (835825049640).

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

256298598360 is a wasteful number, since it uses less digits than its factorization.

256298598360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 256298598360 in words is "two hundred fifty-six billion, two hundred ninety-eight million, five hundred ninety-eight thousand, three hundred sixty".