260329624320000 has 960 divisors, whose sum is σ = 879791206694400. Its totient is φ = 68425482240000.

The previous prime is 260329624319969. The next prime is 260329624320001. The reversal of 260329624320000 is 23426923062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260329624320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100942078711 + ... + 100942081289.

It is an arithmetic number, because the mean of its divisors is an integer number (916449173640).

Almost surely, 2^{260329624320000} is an apocalyptic number.

260329624320000 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 260329624320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439895603347200).

260329624320000 is an abundant number, since it is smaller than the sum of its proper divisors (619461582374400).

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

260329624320000 is an equidigital number, since it uses as much as digits as its factorization.

260329624320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 260329624320000 in words is "two hundred sixty trillion, three hundred twenty-nine billion, six hundred twenty-four million, three hundred twenty thousand".