256934700600 has 192 divisors, whose sum is σ = 809144640000. Its totient is φ = 67431436800.

The previous prime is 256934700599. The next prime is 256934700611. The reversal of 256934700600 is 6007439652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25512366 + ... + 25522434.

It is an arithmetic number, because the mean of its divisors is an integer number (4214295000).

Almost surely, 2^256934700600 is an apocalyptic number.

256934700600 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 256934700600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404572320000).

256934700600 is an abundant number, since it is smaller than the sum of its proper divisors (552209939400).

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

256934700600 is a wasteful number, since it uses less digits than its factorization.

256934700600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10758 (or 10749 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 256934700600 in words is "two hundred fifty-six billion, nine hundred thirty-four million, seven hundred thousand, six hundred".