261742727247162 has 128 divisors (see below), whose sum is σ = 611999279308800. Its totient is φ = 73086983424000.

The previous prime is 261742727247137. The next prime is 261742727247229.

261742727247162 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 261742727247096 and 261742727247105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1317249514 + ... + 1317448202.

It is an arithmetic number, because the mean of its divisors is an integer number (4781244369600).

Almost surely, 2^{261742727247162} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261742727247162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305999639654400).

261742727247162 is an abundant number, since it is smaller than the sum of its proper divisors (350256552061638).

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

261742727247162 is a wasteful number, since it uses less digits than its factorization.

261742727247162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202812.

The product of its digits is 44255232, while the sum is 60.

The spelling of 261742727247162 in words is "two hundred sixty-one trillion, seven hundred forty-two billion, seven hundred twenty-seven million, two hundred forty-seven thousand, one hundred sixty-two".