260786134523904 has 896 divisors, whose sum is σ = 801589269381120. Its totient is φ = 74689413120000.

The previous prime is 260786134523857. The next prime is 260786134523911. The reversal of 260786134523904 is 409325431687062.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64856037414 + ... + 64856041434.

It is a 1-persistent number, because it is pandigital, but 2⋅260786134523904 = 521572269047808 is not.

Almost surely, 2^{260786134523904} is an apocalyptic number.

260786134523904 is a gapful number since it is divisible by the number (24) 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 260786134523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400794634690560).

260786134523904 is an abundant number, since it is smaller than the sum of its proper divisors (540803134857216).

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

260786134523904 is a wasteful number, since it uses less digits than its factorization.

260786134523904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 260786134523904 in words is "two hundred sixty trillion, seven hundred eighty-six billion, one hundred thirty-four million, five hundred twenty-three thousand, nine hundred four".