256261698000 has 640 divisors, whose sum is σ = 1144521031680. Its totient is φ = 53248320000.

The previous prime is 256261697983. The next prime is 256261698001. The reversal of 256261698000 is 896162652.

256261698000 is a `hidden beast` number, since 2 + 5 + 626 + 16 + 9 + 8 + 0 + 0 + 0 = 666.

256261698000 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 Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256261698001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4127185 + ... + 4188815.

It is an arithmetic number, because the mean of its divisors is an integer number (1788314112).

Almost surely, 2^256261698000 is an apocalyptic number.

256261698000 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 256261698000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572260515840).

256261698000 is an abundant number, since it is smaller than the sum of its proper divisors (888259333680).

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

256261698000 is a wasteful number, since it uses less digits than its factorization.

256261698000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61681 (or 61659 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 256261698000 in words is "two hundred fifty-six billion, two hundred sixty-one million, six hundred ninety-eight thousand".