255852853977600 has 3840 divisors, whose sum is σ = 1078195643205120. Its totient is φ = 59624128512000.

The previous prime is 255852853977587. The next prime is 255852853977607. The reversal of 255852853977600 is 6779358258552.

255852853977600 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 5 + 2 + 8 + 5 + 3 + 9 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (255852853977607) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 995536396672 + ... + 995536396928.

It is an arithmetic number, because the mean of its divisors is an integer number (280780115418).

Almost surely, 2^{255852853977600} is an apocalyptic number.

255852853977600 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 255852853977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539097821602560).

255852853977600 is an abundant number, since it is smaller than the sum of its proper divisors (822342789227520).

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

255852853977600 is an equidigital number, since it uses as much as digits as its factorization.

255852853977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1270080000, while the sum is 72.

The spelling of 255852853977600 in words is "two hundred fifty-five trillion, eight hundred fifty-two billion, eight hundred fifty-three million, nine hundred seventy-seven thousand, six hundred".