256464121102200 has 144 divisors (see below), whose sum is σ = 939591280110600. Its totient is φ = 62173120262400.

The previous prime is 256464121102199. The next prime is 256464121102249. The reversal of 256464121102200 is 2201121464652.

256464121102200 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 6 + 412 + 1 + 10 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6476346895 + ... + 6476386494.

Almost surely, 2^{256464121102200} is an apocalyptic number.

256464121102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256464121102200 is an abundant number, since it is smaller than the sum of its proper divisors (683127159008400).

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

256464121102200 is a wasteful number, since it uses less digits than its factorization.

256464121102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12952733422 (or 12952733410 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 256464121102200 its reverse (2201121464652), we get a palindrome (258665242566852).

The spelling of 256464121102200 in words is "two hundred fifty-six trillion, four hundred sixty-four billion, one hundred twenty-one million, one hundred two thousand, two hundred".