256404165600 has 576 divisors, whose sum is σ = 955711830528. Its totient is φ = 59102208000.

The previous prime is 256404165599. The next prime is 256404165763. The reversal of 256404165600 is 6561404652.

256404165600 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256404165600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109902034 + ... + 109904366.

It is an arithmetic number, because the mean of its divisors is an integer number (1659221928).

Almost surely, 2^256404165600 is an apocalyptic number.

256404165600 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 256404165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477855915264).

256404165600 is an abundant number, since it is smaller than the sum of its proper divisors (699307664928).

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

256404165600 is a wasteful number, since it uses less digits than its factorization.

256404165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 256404165600 in words is "two hundred fifty-six billion, four hundred four million, one hundred sixty-five thousand, six hundred".