261350464053162 has 192 divisors, whose sum is σ = 592470781402752. Its totient is φ = 76774097664000.

The previous prime is 261350464053053. The next prime is 261350464053169.

261350464053162 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (261350464053169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 733155133 + ... + 733511519.

It is an arithmetic number, because the mean of its divisors is an integer number (3085785319806).

Almost surely, 2^{261350464053162} is an apocalyptic number.

261350464053162 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 261350464053162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296235390701376).

261350464053162 is an abundant number, since it is smaller than the sum of its proper divisors (331120317349590).

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

261350464053162 is a wasteful number, since it uses less digits than its factorization.

261350464053162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356725 (or 356714 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

It can be divided in two parts, 2613504 and 64053162, that added together give a palindrome (66666666).

The spelling of 261350464053162 in words is "two hundred sixty-one trillion, three hundred fifty billion, four hundred sixty-four million, fifty-three thousand, one hundred sixty-two".