256261660200 has 1440 divisors, whose sum is σ = 1174570135200. Its totient is φ = 51183498240.

The previous prime is 256261660189. The next prime is 256261660201. The reversal of 256261660200 is 2066162652.

256261660200 is a `hidden beast` number, since 2 + 5 + 626 + 1 + 6 + 6 + 0 + 20 + 0 = 666.

256261660200 is digitally balanced in base 2, because in such base 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 (36).

It is not an unprimeable number, because it can be changed into a prime (256261660201) 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 359 ways as a sum of consecutive naturals, for example, 196067947 + ... + 196069253.

It is an arithmetic number, because the mean of its divisors is an integer number (815673705).

Almost surely, 2^256261660200 is an apocalyptic number.

256261660200 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 256261660200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587285067600).

256261660200 is an abundant number, since it is smaller than the sum of its proper divisors (918308475000).

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

256261660200 is a wasteful number, since it uses less digits than its factorization.

256261660200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 256261660200 in words is "two hundred fifty-six billion, two hundred sixty-one million, six hundred sixty thousand, two hundred".