260572080384000 has 2688 divisors, whose sum is σ = 1215523923344640. Its totient is φ = 54141861888000.

The previous prime is 260572080383987. The next prime is 260572080384037. The reversal of 260572080384000 is 483080275062.

260572080384000 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 7 + 208 + 0 + 38 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 14370038934 + ... + 14370057066.

It is an arithmetic number, because the mean of its divisors is an integer number (452203840530).

Almost surely, 2^{260572080384000} is an apocalyptic number.

260572080384000 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 260572080384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607761961672320).

260572080384000 is an abundant number, since it is smaller than the sum of its proper divisors (954951842960640).

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

260572080384000 is an equidigital number, since it uses as much as digits as its factorization.

260572080384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18206 (or 18161 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 260572080384000 in words is "two hundred sixty trillion, five hundred seventy-two billion, eighty million, three hundred eighty-four thousand".