261513486080 has 648 divisors, whose sum is σ = 848475102384. Its totient is φ = 76678103040.

The previous prime is 261513486019. The next prime is 261513486083. The reversal of 261513486080 is 80684315162.

261513486080 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 (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261513486083) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 129014027 + ... + 129016053.

It is an arithmetic number, because the mean of its divisors is an integer number (1309375158).

Almost surely, 2^261513486080 is an apocalyptic number.

261513486080 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 261513486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424237551192).

261513486080 is an abundant number, since it is smaller than the sum of its proper divisors (586961616304).

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

261513486080 is a wasteful number, since it uses less digits than its factorization.

261513486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 261513486080 in words is "two hundred sixty-one billion, five hundred thirteen million, four hundred eighty-six thousand, eighty".