261816899300760 has 128 divisors (see below), whose sum is σ = 788543755545600. Its totient is φ = 69543028638720.

The previous prime is 261816899300717. The next prime is 261816899300777. The reversal of 261816899300760 is 67003998618162.

It is a junction number, because it is equal to n+sod(n) for n = 261816899300691 and 261816899300700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130941411 + ... + 132925869.

It is an arithmetic number, because the mean of its divisors is an integer number (6160498090200).

Almost surely, 2^{261816899300760} is an apocalyptic number.

261816899300760 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 261816899300760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394271877772800).

261816899300760 is an abundant number, since it is smaller than the sum of its proper divisors (526726856244840).

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

261816899300760 is a wasteful number, since it uses less digits than its factorization.

261816899300760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988801 (or 1988797 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 261816899300760 in words is "two hundred sixty-one trillion, eight hundred sixteen billion, eight hundred ninety-nine million, three hundred thousand, seven hundred sixty".