261151266189312 has 624 divisors, whose sum is σ = 803090901500160. Its totient is φ = 81532269232128.

The previous prime is 261151266189283. The next prime is 261151266189361. The reversal of 261151266189312 is 213981662151162.

261151266189312 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 5 + 1 + 2 + 6 + 618 + 9 + 3 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48840705423 + ... + 48840710769.

It is an arithmetic number, because the mean of its divisors is an integer number (1287004649840).

Almost surely, 2^{261151266189312} 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 261151266189312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401545450750080).

261151266189312 is an abundant number, since it is smaller than the sum of its proper divisors (541939635310848).

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

261151266189312 is a wasteful number, since it uses less digits than its factorization.

261151266189312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176 (or 6151 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 261151266189312 in words is "two hundred sixty-one trillion, one hundred fifty-one billion, two hundred sixty-six million, one hundred eighty-nine thousand, three hundred twelve".