260355735392256 has 4992 divisors, whose sum is σ = 1055850084817920. Its totient is φ = 63568493936640.

The previous prime is 260355735392251. The next prime is 260355735392257. The reversal of 260355735392256 is 652293537553062.

260355735392256 is a `hidden beast` number, since 2 + 6 + 0 + 3 + 5 + 5 + 73 + 539 + 2 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 260355735392193 and 260355735392202.

It is not an unprimeable number, because it can be changed into a prime (260355735392251) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6350139887596 + ... + 6350139887636.

Almost surely, 2^{260355735392256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260355735392256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527925042408960).

260355735392256 is an abundant number, since it is smaller than the sum of its proper divisors (795494349425664).

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

260355735392256 is an equidigital number, since it uses as much as digits as its factorization.

260355735392256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 306180000, while the sum is 63.

The spelling of 260355735392256 in words is "two hundred sixty trillion, three hundred fifty-five billion, seven hundred thirty-five million, three hundred ninety-two thousand, two hundred fifty-six".