261715332000 has 192 divisors, whose sum is σ = 857858601600. Its totient is φ = 69751756800.

The previous prime is 261715331989. The next prime is 261715332001. The reversal of 261715332000 is 233517162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (261715332001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26142996 + ... + 26153004.

It is an arithmetic number, because the mean of its divisors is an integer number (4468013550).

Almost surely, 2^261715332000 is an apocalyptic number.

261715332000 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 261715332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428929300800).

261715332000 is an abundant number, since it is smaller than the sum of its proper divisors (596143269600).

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

261715332000 is a wasteful number, since it uses less digits than its factorization.

261715332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12216 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

Adding to 261715332000 its reverse (233517162), we get a palindrome (261948849162).

The spelling of 261715332000 in words is "two hundred sixty-one billion, seven hundred fifteen million, three hundred thirty-two thousand".