261710974080 has 320 divisors, whose sum is σ = 937972252800. Its totient is φ = 69539088384.

The previous prime is 261710974079. The next prime is 261710974087. The reversal of 261710974080 is 80479017162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (261710974087) 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 39 ways as a sum of consecutive naturals, for example, 14661801 + ... + 14679639.

It is an arithmetic number, because the mean of its divisors is an integer number (2931163290).

Almost surely, 2^261710974080 is an apocalyptic number.

261710974080 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 261710974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468986126400).

261710974080 is an abundant number, since it is smaller than the sum of its proper divisors (676261278720).

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

261710974080 is a wasteful number, since it uses less digits than its factorization.

261710974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18153 (or 18132 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 261710974080 in words is "two hundred sixty-one billion, seven hundred ten million, nine hundred seventy-four thousand, eighty".