255790418400 has 2160 divisors, whose sum is σ = 1154095976880. Its totient is φ = 54743040000.

The previous prime is 255790418393. The next prime is 255790418423. The reversal of 255790418400 is 4814097552.

255790418400 is a `hidden beast` number, since 2 + 557 + 90 + 4 + 1 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2532578350 + ... + 2532578450.

It is an arithmetic number, because the mean of its divisors is an integer number (534303693).

Almost surely, 2^255790418400 is an apocalyptic number.

255790418400 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 255790418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577047988440).

255790418400 is an abundant number, since it is smaller than the sum of its proper divisors (898305558480).

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

255790418400 is a wasteful number, since it uses less digits than its factorization.

255790418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 255790418400 in words is "two hundred fifty-five billion, seven hundred ninety million, four hundred eighteen thousand, four hundred".