255742456200 has 288 divisors, whose sum is σ = 1006079758560. Its totient is φ = 53141222400.

The previous prime is 255742456171. The next prime is 255742456217. The reversal of 255742456200 is 2654247552.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 71 ways as a sum of consecutive naturals, for example, 71997 + ... + 718796.

It is an arithmetic number, because the mean of its divisors is an integer number (3493332495).

Almost surely, 2^255742456200 is an apocalyptic number.

255742456200 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 255742456200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503039879280).

255742456200 is an abundant number, since it is smaller than the sum of its proper divisors (750337302360).

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

255742456200 is a wasteful number, since it uses less digits than its factorization.

255742456200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790837 (or 790821 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 255742456200 in words is "two hundred fifty-five billion, seven hundred forty-two million, four hundred fifty-six thousand, two hundred".