255540848640 has 1728 divisors, whose sum is σ = 1108650291840. Its totient is φ = 49958092800.

The previous prime is 255540848627. The next prime is 255540848681. The reversal of 255540848640 is 46848045552.

It is a happy number.

255540848640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×255540848640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4189194210 + ... + 4189194270.

It is an arithmetic number, because the mean of its divisors is an integer number (641580030).

Almost surely, 2^255540848640 is an apocalyptic number.

255540848640 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 255540848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554325145920).

255540848640 is an abundant number, since it is smaller than the sum of its proper divisors (853109443200).

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

255540848640 is a wasteful number, since it uses less digits than its factorization.

255540848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 51.

The spelling of 255540848640 in words is "two hundred fifty-five billion, five hundred forty million, eight hundred forty-eight thousand, six hundred forty".