255907667400 has 1152 divisors, whose sum is σ = 1111428864000. Its totient is φ = 47383142400.

The previous prime is 255907667387. The next prime is 255907667413. The reversal of 255907667400 is 4766709552.

255907667400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255907667387) and next prime (255907667413).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 287 ways as a sum of consecutive naturals, for example, 164147821 + ... + 164149379.

It is an arithmetic number, because the mean of its divisors is an integer number (964782000).

Almost surely, 2^255907667400 is an apocalyptic number.

255907667400 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 255907667400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555714432000).

255907667400 is an abundant number, since it is smaller than the sum of its proper divisors (855521196600).

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

255907667400 is a wasteful number, since it uses less digits than its factorization.

255907667400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 255907667400 in words is "two hundred fifty-five billion, nine hundred seven million, six hundred sixty-seven thousand, four hundred".