255071524400 has 480 divisors, whose sum is σ = 783393669120. Its totient is φ = 77511168000.

The previous prime is 255071524319. The next prime is 255071524441. The reversal of 255071524400 is 4425170552.

255071524400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×255071524400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 95 ways as a sum of consecutive naturals, for example, 238607066 + ... + 238608134.

It is an arithmetic number, because the mean of its divisors is an integer number (1632070144).

Almost surely, 2^255071524400 is an apocalyptic number.

255071524400 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 255071524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391696834560).

255071524400 is an abundant number, since it is smaller than the sum of its proper divisors (528322144720).

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

255071524400 is a wasteful number, since it uses less digits than its factorization.

255071524400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 35.

Adding to 255071524400 its reverse (4425170552), we get a palindrome (259496694952).

It can be divided in two parts, 25507152 and 4400, that added together give a palindrome (25511552).

The spelling of 255071524400 in words is "two hundred fifty-five billion, seventy-one million, five hundred twenty-four thousand, four hundred".