261341852037120 has 1248 divisors, whose sum is σ = 964703677317120. Its totient is φ = 65329826365440.

The previous prime is 261341852037037. The next prime is 261341852037121. The reversal of 261341852037120 is 21730258143162.

261341852037120 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 418 + 5 + 203 + 7 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261341852037121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31905972225 + ... + 31905980415.

It is an arithmetic number, because the mean of its divisors is an integer number (772999741440).

Almost surely, 2^{261341852037120} is an apocalyptic number.

261341852037120 is a gapful number since it is divisible by the number (20) 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 261341852037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482351838658560).

261341852037120 is an abundant number, since it is smaller than the sum of its proper divisors (703361825280000).

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

261341852037120 is a wasteful number, since it uses less digits than its factorization.

261341852037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 261341852037120 in words is "two hundred sixty-one trillion, three hundred forty-one billion, eight hundred fifty-two million, thirty-seven thousand, one hundred twenty".