255768512615520 has 384 divisors, whose sum is σ = 830562150620160. Its totient is φ = 66129982464000.

The previous prime is 255768512615519. The next prime is 255768512615569. The reversal of 255768512615520 is 25516215867552.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 21476903326 + ... + 21476915234.

It is an arithmetic number, because the mean of its divisors is an integer number (2162922267240).

Almost surely, 2^{255768512615520} is an apocalyptic number.

255768512615520 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 255768512615520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415281075310080).

255768512615520 is an abundant number, since it is smaller than the sum of its proper divisors (574793638004640).

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

255768512615520 is a wasteful number, since it uses less digits than its factorization.

255768512615520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22390 (or 22382 counting only the distinct ones).

The product of its (nonzero) digits is 50400000, while the sum is 60.

The spelling of 255768512615520 in words is "two hundred fifty-five trillion, seven hundred sixty-eight billion, five hundred twelve million, six hundred fifteen thousand, five hundred twenty".