260431456511121 has 32 divisors (see below), whose sum is σ = 397759215974400. Its totient is φ = 148476459231360.

The previous prime is 260431456511089. The next prime is 260431456511141. The reversal of 260431456511121 is 121115654134062.

It is a happy number.

It is not a de Polignac number, because 260431456511121 - 2⁵ = 260431456511089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (260431456511141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24616140 + ... + 33568098.

It is an arithmetic number, because the mean of its divisors is an integer number (12429975499200).

Almost surely, 2^{260431456511121} is an apocalyptic number.

260431456511121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

260431456511121 is a deficient number, since it is larger than the sum of its proper divisors (137327759463279).

260431456511121 is a wasteful number, since it uses less digits than its factorization.

260431456511121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8955149.

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 260431456511121 in words is "two hundred sixty trillion, four hundred thirty-one billion, four hundred fifty-six million, five hundred eleven thousand, one hundred twenty-one".