256293553486200 has 192 divisors, whose sum is σ = 795043808939520. Its totient is φ = 68299045248000.

The previous prime is 256293553486147. The next prime is 256293553486331. The reversal of 256293553486200 is 2684355392652.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6216019585 + ... + 6216060815.

It is an arithmetic number, because the mean of its divisors is an integer number (4140853171560).

Almost surely, 2^{256293553486200} is an apocalyptic number.

256293553486200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256293553486200 is an abundant number, since it is smaller than the sum of its proper divisors (538750255453320).

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

256293553486200 is a wasteful number, since it uses less digits than its factorization.

256293553486200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47958 (or 47949 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 60.

The spelling of 256293553486200 in words is "two hundred fifty-six trillion, two hundred ninety-three billion, five hundred fifty-three million, four hundred eighty-six thousand, two hundred".