261952327680 has 416 divisors, whose sum is σ = 868036310400. Its totient is φ = 67395649536.

The previous prime is 261952327673. The next prime is 261952327687. The reversal of 261952327680 is 86723259162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (261952327673) and next prime (261952327687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261952327687) 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 31 ways as a sum of consecutive naturals, for example, 315985506 + ... + 315986334.

Almost surely, 2^261952327680 is an apocalyptic number.

261952327680 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 261952327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434018155200).

261952327680 is an abundant number, since it is smaller than the sum of its proper divisors (606083982720).

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

261952327680 is a wasteful number, since it uses less digits than its factorization.

261952327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 261952327680 in words is "two hundred sixty-one billion, nine hundred fifty-two million, three hundred twenty-seven thousand, six hundred eighty".