261008724800320 has 448 divisors, whose sum is σ = 759459932375040. Its totient is φ = 83447553024000.

The previous prime is 261008724800273. The next prime is 261008724800359. The reversal of 261008724800320 is 23008427800162.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3681276870 + ... + 3681347770.

Almost surely, 2^{261008724800320} is an apocalyptic number.

261008724800320 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 261008724800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379729966187520).

261008724800320 is an abundant number, since it is smaller than the sum of its proper divisors (498451207574720).

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

261008724800320 is a wasteful number, since it uses less digits than its factorization.

261008724800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72302 (or 72292 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 261008724800320 in words is "two hundred sixty-one trillion, eight billion, seven hundred twenty-four million, eight hundred thousand, three hundred twenty".