255550464000 has 1344 divisors, whose sum is σ = 1041927344640. Its totient is φ = 62108467200.

The previous prime is 255550463953. The next prime is 255550464007. The reversal of 255550464000 is 464055552.

255550464000 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 5 + 0 + 4 + 640 + 0 + 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 not an unprimeable number, because it can be changed into a prime (255550464007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3234815961 + ... + 3234816039.

It is an arithmetic number, because the mean of its divisors is an integer number (775243560).

Almost surely, 2^255550464000 is an apocalyptic number.

255550464000 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 255550464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520963672320).

255550464000 is an abundant number, since it is smaller than the sum of its proper divisors (786376880640).

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

255550464000 is an frugal number, since it uses more digits than its factorization.

255550464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 102 counting only the distinct ones).

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

The spelling of 255550464000 in words is "two hundred fifty-five billion, five hundred fifty million, four hundred sixty-four thousand".