255106515840 has 512 divisors, whose sum is σ = 902765606400. Its totient is φ = 60759244800.

The previous prime is 255106515799. The next prime is 255106515893. The reversal of 255106515840 is 48515601552.

It is a junction number, because it is equal to n+sod(n) for n = 255106515792 and 255106515801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471545970 + ... + 471546510.

It is an arithmetic number, because the mean of its divisors is an integer number (1763214075).

Almost surely, 2^255106515840 is an apocalyptic number.

255106515840 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 255106515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451382803200).

255106515840 is an abundant number, since it is smaller than the sum of its proper divisors (647659090560).

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

255106515840 is a wasteful number, since it uses less digits than its factorization.

255106515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 42.

The spelling of 255106515840 in words is "two hundred fifty-five billion, one hundred six million, five hundred fifteen thousand, eight hundred forty".