261741165000 has 320 divisors, whose sum is σ = 936060364800. Its totient is φ = 59726112000.

The previous prime is 261741164987. The next prime is 261741165011. The reversal of 261741165000 is 561147162.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75493267 + ... + 75496733.

It is an arithmetic number, because the mean of its divisors is an integer number (2925188640).

Almost surely, 2^261741165000 is an apocalyptic number.

261741165000 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 261741165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468030182400).

261741165000 is an abundant number, since it is smaller than the sum of its proper divisors (674319199800).

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

261741165000 is a wasteful number, since it uses less digits than its factorization.

261741165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 261741165000 in words is "two hundred sixty-one billion, seven hundred forty-one million, one hundred sixty-five thousand".