255964745400 has 192 divisors, whose sum is σ = 976604160000. Its totient is φ = 54005736960.

The previous prime is 255964745369. The next prime is 255964745417. The reversal of 255964745400 is 4547469552.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2289400 + ... + 2398599.

It is an arithmetic number, because the mean of its divisors is an integer number (5086480000).

Almost surely, 2^255964745400 is an apocalyptic number.

255964745400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255964745400 is an abundant number, since it is smaller than the sum of its proper divisors (720639414600).

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

255964745400 is a wasteful number, since it uses less digits than its factorization.

255964745400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688038 (or 4688029 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 255964745400 in words is "two hundred fifty-five billion, nine hundred sixty-four million, seven hundred forty-five thousand, four hundred".