255513200425200 has 240 divisors, whose sum is σ = 909593382297600. Its totient is φ = 68125191264000.

The previous prime is 255513200425199. The next prime is 255513200425211. The reversal of 255513200425200 is 2524002315552.

255513200425200 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 1 + 3 + 20 + 0 + 425 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 61169041 + ... + 65212559.

It is an arithmetic number, because the mean of its divisors is an integer number (3789972426240).

Almost surely, 2^{255513200425200} is an apocalyptic number.

255513200425200 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 255513200425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454796691148800).

255513200425200 is an abundant number, since it is smaller than the sum of its proper divisors (654080181872400).

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

255513200425200 is a wasteful number, since it uses less digits than its factorization.

255513200425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049397 (or 4049380 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 255513200425200 in words is "two hundred fifty-five trillion, five hundred thirteen billion, two hundred million, four hundred twenty-five thousand, two hundred".