256507205621700 has 288 divisors, whose sum is σ = 823638578757120. Its totient is φ = 61108370892800.

The previous prime is 256507205621683. The next prime is 256507205621729. The reversal of 256507205621700 is 7126502705652.

It is a self number, because there is not a number n which added to its sum of digits gives 256507205621700.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 563818519 + ... + 564273281.

It is an arithmetic number, because the mean of its divisors is an integer number (2859856176240).

Almost surely, 2^{256507205621700} is an apocalyptic number.

256507205621700 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 256507205621700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411819289378560).

256507205621700 is an abundant number, since it is smaller than the sum of its proper divisors (567131373135420).

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

256507205621700 is a wasteful number, since it uses less digits than its factorization.

256507205621700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457747 (or 457740 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 256507205621700 in words is "two hundred fifty-six trillion, five hundred seven billion, two hundred five million, six hundred twenty-one thousand, seven hundred".