255507835968 has 1512 divisors, whose sum is σ = 1034541589536. Its totient is φ = 62078607360.

The previous prime is 255507835963. The next prime is 255507835987. The reversal of 255507835968 is 869538705552.

255507835968 is a `hidden beast` number, since 2 + 5 + 5 + 507 + 8 + 35 + 96 + 8 = 666.

255507835968 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 (1512).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255507835963) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 1567532655 + ... + 1567532817.

It is an arithmetic number, because the mean of its divisors is an integer number (684220628).

Almost surely, 2^255507835968 is an apocalyptic number.

255507835968 is a gapful number since it is divisible by the number (28) 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 255507835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517270794768).

255507835968 is an abundant number, since it is smaller than the sum of its proper divisors (779033753568).

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

255507835968 is a wasteful number, since it uses less digits than its factorization.

255507835968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 255507835968 in words is "two hundred fifty-five billion, five hundred seven million, eight hundred thirty-five thousand, nine hundred sixty-eight".