261674027712 has 280 divisors, whose sum is σ = 817628895600. Its totient is φ = 82520653824.

The previous prime is 261674027711. The next prime is 261674027717. The reversal of 261674027712 is 217720476162.

261674027712 is a `hidden beast` number, since 2 + 6 + 167 + 402 + 77 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (261674027711) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99381148 + ... + 99383780.

Almost surely, 2^261674027712 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 261674027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408814447800).

261674027712 is an abundant number, since it is smaller than the sum of its proper divisors (555954867888).

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

261674027712 is a wasteful number, since it uses less digits than its factorization.

261674027712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 261674027712 in words is "two hundred sixty-one billion, six hundred seventy-four million, twenty-seven thousand, seven hundred twelve".