256316220053600 has 216 divisors, whose sum is σ = 728179261591320. Its totient is φ = 87845200773120.

The previous prime is 256316220053599. The next prime is 256316220053611. The reversal of 256316220053600 is 6350022613652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98241152 + ... + 100816448.

It is an arithmetic number, because the mean of its divisors is an integer number (3371200285145).

Almost surely, 2^{256316220053600} is an apocalyptic number.

256316220053600 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 256316220053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364089630795660).

256316220053600 is an abundant number, since it is smaller than the sum of its proper divisors (471863041537720).

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

256316220053600 is a wasteful number, since it uses less digits than its factorization.

256316220053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577870 (or 2577850 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 41.

The spelling of 256316220053600 in words is "two hundred fifty-six trillion, three hundred sixteen billion, two hundred twenty million, fifty-three thousand, six hundred".