255145064400 has 480 divisors, whose sum is σ = 1012168252800. Its totient is φ = 60665241600.

The previous prime is 255145064399. The next prime is 255145064411. The reversal of 255145064400 is 4460541552.

255145064400 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 4 + 5 + 0 + 644 + 0 + 0 = 666.

255145064400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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, 3451830 + ... + 3524970.

It is an arithmetic number, because the mean of its divisors is an integer number (2108683860).

Almost surely, 2^255145064400 is an apocalyptic number.

255145064400 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 255145064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506084126400).

255145064400 is an abundant number, since it is smaller than the sum of its proper divisors (757023188400).

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

255145064400 is a wasteful number, since it uses less digits than its factorization.

255145064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73204 (or 73187 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 255145064400 in words is "two hundred fifty-five billion, one hundred forty-five million, sixty-four thousand, four hundred".