255700488960 has 720 divisors, whose sum is σ = 1081795176000. Its totient is φ = 56425807872.

The previous prime is 255700488959. The next prime is 255700488973. The reversal of 255700488960 is 69884007552.

255700488960 is a `hidden beast` number, since 2 + 5 + 5 + 70 + 0 + 488 + 96 + 0 = 666.

255700488960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 255700488897 and 255700488906.

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 79 ways as a sum of consecutive naturals, for example, 21040966 + ... + 21053114.

It is an arithmetic number, because the mean of its divisors is an integer number (1502493300).

Almost surely, 2^255700488960 is an apocalyptic number.

255700488960 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 255700488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540897588000).

255700488960 is an abundant number, since it is smaller than the sum of its proper divisors (826094687040).

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

255700488960 is a wasteful number, since it uses less digits than its factorization.

255700488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12218 (or 12195 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 255700488960 in words is "two hundred fifty-five billion, seven hundred million, four hundred eighty-eight thousand, nine hundred sixty".