255165997804800 has 864 divisors, whose sum is σ = 894571431264000. Its totient is φ = 63921141841920.

The previous prime is 255165997804787. The next prime is 255165997804847. The reversal of 255165997804800 is 8408799561552.

It is a Harshad number since it is a multiple of its sum of digits (69).

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, 5856035814 + ... + 5856079386.

It is an arithmetic number, because the mean of its divisors is an integer number (1035383601000).

Almost surely, 2^{255165997804800} is an apocalyptic number.

255165997804800 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 255165997804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447285715632000).

255165997804800 is an abundant number, since it is smaller than the sum of its proper divisors (639405433459200).

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

255165997804800 is a wasteful number, since it uses less digits than its factorization.

255165997804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43863 (or 43844 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 69.

The spelling of 255165997804800 in words is "two hundred fifty-five trillion, one hundred sixty-five billion, nine hundred ninety-seven million, eight hundred four thousand, eight hundred".