261052335144 has 96 divisors (see below), whose sum is σ = 740697048000. Its totient is φ = 82902336000.

The previous prime is 261052335133. The next prime is 261052335179. The reversal of 261052335144 is 441533250162.

261052335144 is a `hidden beast` number, since 2 + 6 + 105 + 2 + 33 + 514 + 4 = 666.

261052335144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 261052335099 and 261052335108.

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 23 ways as a sum of consecutive naturals, for example, 101632 + ... + 729680.

It is an arithmetic number, because the mean of its divisors is an integer number (7715594250).

Almost surely, 2^261052335144 is an apocalyptic number.

261052335144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261052335144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370348524000).

261052335144 is an abundant number, since it is smaller than the sum of its proper divisors (479644712856).

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

261052335144 is a wasteful number, since it uses less digits than its factorization.

261052335144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628335 (or 628328 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 261052335144 in words is "two hundred sixty-one billion, fifty-two million, three hundred thirty-five thousand, one hundred forty-four".