255523909555200 has 2112 divisors, whose sum is σ = 1022042625085440. Its totient is φ = 55467638784000.

The previous prime is 255523909555153. The next prime is 255523909555217. The reversal of 255523909555200 is 2555909325552.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175136332071 + ... + 175136333529.

Almost surely, 2^{255523909555200} is an apocalyptic number.

255523909555200 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 255523909555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511021312542720).

255523909555200 is an abundant number, since it is smaller than the sum of its proper divisors (766518715530240).

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

255523909555200 is a wasteful number, since it uses less digits than its factorization.

255523909555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 30375000, while the sum is 57.

The spelling of 255523909555200 in words is "two hundred fifty-five trillion, five hundred twenty-three billion, nine hundred nine million, five hundred fifty-five thousand, two hundred".