255760693760 has 480 divisors, whose sum is σ = 745447038336. Its totient is φ = 82966118400.

The previous prime is 255760693757. The next prime is 255760693789. The reversal of 255760693760 is 67396067552.

It is a junction number, because it is equal to n+sod(n) for n = 255760693696 and 255760693705.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351802517 + ... + 351803243.

Almost surely, 2^255760693760 is an apocalyptic number.

255760693760 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 255760693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372723519168).

255760693760 is an abundant number, since it is smaller than the sum of its proper divisors (489686344576).

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

255760693760 is a wasteful number, since it uses less digits than its factorization.

255760693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 56.

The spelling of 255760693760 in words is "two hundred fifty-five billion, seven hundred sixty million, six hundred ninety-three thousand, seven hundred sixty".