261665002162060 has 192 divisors, whose sum is σ = 655899019776000. Its totient is φ = 87602739404544.

The previous prime is 261665002162043. The next prime is 261665002162061. The reversal of 261665002162060 is 60261200566162.

It is a happy number.

261665002162060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 261665002161998 and 261665002162016.

It is not an unprimeable number, because it can be changed into a prime (261665002162061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1065639981 + ... + 1065885499.

It is an arithmetic number, because the mean of its divisors is an integer number (3416140728000).

Almost surely, 2^{261665002162060} is an apocalyptic number.

261665002162060 is a gapful number since it is divisible by the number (20) 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 261665002162060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327949509888000).

261665002162060 is an abundant number, since it is smaller than the sum of its proper divisors (394234017613940).

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

261665002162060 is a wasteful number, since it uses less digits than its factorization.

261665002162060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249205 (or 249189 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 261665002162060 in words is "two hundred sixty-one trillion, six hundred sixty-five billion, two million, one hundred sixty-two thousand, sixty".