260582965332480 has 4800 divisors, whose sum is σ = 1179806075078400. Its totient is φ = 53799309803520.

The previous prime is 260582965332373. The next prime is 260582965332491. The reversal of 260582965332480 is 84233569285062.

260582965332480 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 8 + 2 + 96 + 533 + 2 + 4 + 8 + 0 = 666.

260582965332480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1874697592251 + ... + 1874697592389.

It is an arithmetic number, because the mean of its divisors is an integer number (245792932308).

Almost surely, 2^{260582965332480} is an apocalyptic number.

260582965332480 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 260582965332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589903037539200).

260582965332480 is an abundant number, since it is smaller than the sum of its proper divisors (919223109745920).

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

260582965332480 is a wasteful number, since it uses less digits than its factorization.

260582965332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 260582965332480 in words is "two hundred sixty trillion, five hundred eighty-two billion, nine hundred sixty-five million, three hundred thirty-two thousand, four hundred eighty".