255842558400 has 672 divisors, whose sum is σ = 1010283837696. Its totient is φ = 55848960000.

The previous prime is 255842558357. The next prime is 255842558401. The reversal of 255842558400 is 4855248552.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 255842558400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255842558401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28137855 + ... + 28146945.

It is an arithmetic number, because the mean of its divisors is an integer number (1503398568).

Almost surely, 2^255842558400 is an apocalyptic number.

255842558400 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 255842558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505141918848).

255842558400 is an abundant number, since it is smaller than the sum of its proper divisors (754441279296).

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

255842558400 is a wasteful number, since it uses less digits than its factorization.

255842558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9181 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 48.

It can be divided in two parts, 25584 and 2558400, that multiplied together give a square (65454105600 = 255840²).

The spelling of 255842558400 in words is "two hundred fifty-five billion, eight hundred forty-two million, five hundred fifty-eight thousand, four hundred".