255345034202400 has 288 divisors, whose sum is σ = 870349624058880. Its totient is φ = 64901336417280.

The previous prime is 255345034202381. The next prime is 255345034202441. The reversal of 255345034202400 is 4202430543552.

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 47 ways as a sum of consecutive naturals, for example, 7448781 + ... + 23794419.

It is an arithmetic number, because the mean of its divisors is an integer number (3022047305760).

Almost surely, 2^{255345034202400} is an apocalyptic number.

255345034202400 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 255345034202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435174812029440).

255345034202400 is an abundant number, since it is smaller than the sum of its proper divisors (615004589856480).

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

255345034202400 is a wasteful number, since it uses less digits than its factorization.

255345034202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16345968 (or 16345955 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 39.

Adding to 255345034202400 its reverse (4202430543552), we get a palindrome (259547464745952).

The spelling of 255345034202400 in words is "two hundred fifty-five trillion, three hundred forty-five billion, thirty-four million, two hundred two thousand, four hundred".