261334044758976 has 896 divisors, whose sum is σ = 839870791680000. Its totient is φ = 71609589596160.

The previous prime is 261334044758933. The next prime is 261334044759071. The reversal of 261334044758976 is 679857440433162.

It is a self number, because there is not a number n which added to its sum of digits gives 261334044758976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114973181776 + ... + 114973184048.

It is a 1-persistent number, because it is pandigital, but 2⋅261334044758976 = 522668089517952 is not.

Almost surely, 2^{261334044758976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261334044758976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419935395840000).

261334044758976 is an abundant number, since it is smaller than the sum of its proper divisors (578536746921024).

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

261334044758976 is a wasteful number, since it uses less digits than its factorization.

261334044758976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 69.

The spelling of 261334044758976 in words is "two hundred sixty-one trillion, three hundred thirty-four billion, forty-four million, seven hundred fifty-eight thousand, nine hundred seventy-six".