255605898240 has 2112 divisors, whose sum is σ = 1191805977600. Its totient is φ = 50801541120.

The previous prime is 255605898227. The next prime is 255605898281. The reversal of 255605898240 is 42898506552.

255605898240 is a `hidden beast` number, since 2 + 5 + 5 + 605 + 8 + 9 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4332303331 + ... + 4332303389.

Almost surely, 2^255605898240 is an apocalyptic number.

255605898240 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 255605898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595902988800).

255605898240 is an abundant number, since it is smaller than the sum of its proper divisors (936200079360).

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

255605898240 is a wasteful number, since it uses less digits than its factorization.

255605898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 255605898240 in words is "two hundred fifty-five billion, six hundred five million, eight hundred ninety-eight thousand, two hundred forty".