261760160724426 has 384 divisors, whose sum is σ = 727933720550400. Its totient is φ = 66138413912064.

The previous prime is 261760160724421. The next prime is 261760160724457. The reversal of 261760160724426 is 624427061067162.

261760160724426 is a `hidden beast` number, since 2 + 6 + 1 + 7 + 6 + 0 + 1 + 607 + 2 + 4 + 4 + 26 = 666.

It is a super-2 number, since 2×261760160724426² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261760160724421) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2650069176 + ... + 2650167948.

It is an arithmetic number, because the mean of its divisors is an integer number (1895660730600).

Almost surely, 2^{261760160724426} is an apocalyptic number.

261760160724426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 261760160724426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363966860275200).

261760160724426 is an abundant number, since it is smaller than the sum of its proper divisors (466173559825974).

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

261760160724426 is a wasteful number, since it uses less digits than its factorization.

261760160724426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99510 (or 99507 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 261760160724426 in words is "two hundred sixty-one trillion, seven hundred sixty billion, one hundred sixty million, seven hundred twenty-four thousand, four hundred twenty-six".