261206340133392 has 960 divisors, whose sum is σ = 845498867466240. Its totient is φ = 74808247320576.

The previous prime is 261206340133373. The next prime is 261206340133399. The reversal of 261206340133392 is 293331043602162.

It is a happy number.

261206340133392 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 0 + 634 + 0 + 1 + 3 + 3 + 3 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (261206340133399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23546946598 + ... + 23546957690.

It is an arithmetic number, because the mean of its divisors is an integer number (880727986944).

Almost surely, 2^{261206340133392} 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 261206340133392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422749433733120).

261206340133392 is an abundant number, since it is smaller than the sum of its proper divisors (584292527332848).

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

261206340133392 is a wasteful number, since it uses less digits than its factorization.

261206340133392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11400 (or 11391 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 261206340133392 in words is "two hundred sixty-one trillion, two hundred six billion, three hundred forty million, one hundred thirty-three thousand, three hundred ninety-two".