261962374272 has 128 divisors (see below), whose sum is σ = 715771062720. Its totient is φ = 84853862400.

The previous prime is 261962374243. The next prime is 261962374319. The reversal of 261962374272 is 272473269162.

It is a happy number.

261962374272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1876822 + ... + 2011562.

Almost surely, 2^261962374272 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 261962374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357885531360).

261962374272 is an abundant number, since it is smaller than the sum of its proper divisors (453808688448).

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

261962374272 is a wasteful number, since it uses less digits than its factorization.

261962374272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134902 (or 134890 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The spelling of 261962374272 in words is "two hundred sixty-one billion, nine hundred sixty-two million, three hundred seventy-four thousand, two hundred seventy-two".