255311305160400 has 480 divisors, whose sum is σ = 912504096000000. Its totient is φ = 67799859978240.

The previous prime is 255311305160363. The next prime is 255311305160447. The reversal of 255311305160400 is 4061503113552.

255311305160400 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 1 + 130 + 516 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3546003601 + ... + 3546075599.

It is an arithmetic number, because the mean of its divisors is an integer number (1901050200000).

Almost surely, 2^{255311305160400} is an apocalyptic number.

255311305160400 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 255311305160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456252048000000).

255311305160400 is an abundant number, since it is smaller than the sum of its proper divisors (657192790839600).

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

255311305160400 is a wasteful number, since it uses less digits than its factorization.

255311305160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73388 (or 73371 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 255311305160400 its reverse (4061503113552), we get a palindrome (259372808273952).

The spelling of 255311305160400 in words is "two hundred fifty-five trillion, three hundred eleven billion, three hundred five million, one hundred sixty thousand, four hundred".