255604712400 has 480 divisors, whose sum is σ = 990691056000. Its totient is φ = 62345687040.

The previous prime is 255604712383. The next prime is 255604712413. The reversal of 255604712400 is 4217406552.

It is a happy number.

255604712400 is a `hidden beast` number, since 2 + 5 + 5 + 604 + 7 + 1 + 2 + 40 + 0 = 666.

255604712400 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 a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5929324 + ... + 5972276.

It is an arithmetic number, because the mean of its divisors is an integer number (2063939700).

Almost surely, 2^255604712400 is an apocalyptic number.

255604712400 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 255604712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495345528000).

255604712400 is an abundant number, since it is smaller than the sum of its proper divisors (735086343600).

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

255604712400 is a wasteful number, since it uses less digits than its factorization.

255604712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43028 (or 43011 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 255604712400 in words is "two hundred fifty-five billion, six hundred four million, seven hundred twelve thousand, four hundred".