255544102400 has 360 divisors, whose sum is σ = 691611057720. Its totient is φ = 93449502720.

The previous prime is 255544102349. The next prime is 255544102423. The reversal of 255544102400 is 4201445552.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134002247 + ... + 134004153.

It is an arithmetic number, because the mean of its divisors is an integer number (1921141827).

Almost surely, 2^255544102400 is an apocalyptic number.

255544102400 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 255544102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345805528860).

255544102400 is an abundant number, since it is smaller than the sum of its proper divisors (436066955320).

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

255544102400 is a wasteful number, since it uses less digits than its factorization.

255544102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

Adding to 255544102400 its reverse (4201445552), we get a palindrome (259745547952).

The spelling of 255544102400 in words is "two hundred fifty-five billion, five hundred forty-four million, one hundred two thousand, four hundred".