255933864345600 has 5184 divisors, whose sum is σ = 1197785775303936. Its totient is φ = 52836150804480.

The previous prime is 255933864345469. The next prime is 255933864345631. The reversal of 255933864345600 is 6543468339552.

255933864345600 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 3 + 3 + 8 + 64 + 3 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3505943347164 + ... + 3505943347236.

It is an arithmetic number, because the mean of its divisors is an integer number (231054354804).

Almost surely, 2^{255933864345600} is an apocalyptic number.

255933864345600 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 255933864345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598892887651968).

255933864345600 is an abundant number, since it is smaller than the sum of its proper divisors (941851910958336).

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

255933864345600 is an frugal number, since it uses more digits than its factorization.

255933864345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 63.

The spelling of 255933864345600 in words is "two hundred fifty-five trillion, nine hundred thirty-three billion, eight hundred sixty-four million, three hundred forty-five thousand, six hundred".