256661462033130 has 256 divisors, whose sum is σ = 781606502756352. Its totient is φ = 52392096000000.

The previous prime is 256661462033113. The next prime is 256661462033131. The reversal of 256661462033130 is 31330264166652.

It is a self number, because there is not a number n which added to its sum of digits gives 256661462033130.

It is not an unprimeable number, because it can be changed into a prime (256661462033131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39294180 + ... + 45358080.

It is an arithmetic number, because the mean of its divisors is an integer number (3053150401392).

Almost surely, 2^{256661462033130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256661462033130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390803251378176).

256661462033130 is an abundant number, since it is smaller than the sum of its proper divisors (524945040723222).

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

256661462033130 is a wasteful number, since it uses less digits than its factorization.

256661462033130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064253.

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 256661462033130 in words is "two hundred fifty-six trillion, six hundred sixty-one billion, four hundred sixty-two million, thirty-three thousand, one hundred thirty".