255634534400 has 312 divisors, whose sum is σ = 734802683904. Its totient is φ = 86394470400.

The previous prime is 255634534399. The next prime is 255634534403. The reversal of 255634534400 is 4435436552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255634534403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50890289 + ... + 50895311.

Almost surely, 2^255634534400 is an apocalyptic number.

255634534400 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 255634534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367401341952).

255634534400 is an abundant number, since it is smaller than the sum of its proper divisors (479168149504).

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

255634534400 is an equidigital number, since it uses as much as digits as its factorization.

255634534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5135 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 41.

The spelling of 255634534400 in words is "two hundred fifty-five billion, six hundred thirty-four million, five hundred thirty-four thousand, four hundred".