261225161160012 has 576 divisors, whose sum is σ = 781214102323200. Its totient is φ = 72071786949120.

The previous prime is 261225161159983. The next prime is 261225161160079. The reversal of 261225161160012 is 210061161522162.

261225161160012 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 25 + 1 + 6 + 11 + 600 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84022243914 + ... + 84022247022.

It is an arithmetic number, because the mean of its divisors is an integer number (1356274483200).

Almost surely, 2^{261225161160012} 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 261225161160012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390607051161600).

261225161160012 is an abundant number, since it is smaller than the sum of its proper divisors (519988941163188).

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

261225161160012 is a wasteful number, since it uses less digits than its factorization.

261225161160012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 261225161160012 in words is "two hundred sixty-one trillion, two hundred twenty-five billion, one hundred sixty-one million, one hundred sixty thousand, twelve".