256601136330 has 512 divisors, whose sum is σ = 906992640000. Its totient is φ = 49978183680.

The previous prime is 256601136317. The next prime is 256601136331. The reversal of 256601136330 is 33631106652.

256601136330 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 0 + 1 + 13 + 633 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (256601136331) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 95071321 + ... + 95074019.

It is an arithmetic number, because the mean of its divisors is an integer number (1771470000).

Almost surely, 2^256601136330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256601136330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453496320000).

256601136330 is an abundant number, since it is smaller than the sum of its proper divisors (650391503670).

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

256601136330 is a wasteful number, since it uses less digits than its factorization.

256601136330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 256601136330 in words is "two hundred fifty-six billion, six hundred one million, one hundred thirty-six thousand, three hundred thirty".