260192080512 has 384 divisors, whose sum is σ = 930498965760. Its totient is φ = 67953033216.

The previous prime is 260192080493. The next prime is 260192080607. The reversal of 260192080512 is 215080291062.

260192080512 is a `hidden beast` number, since 2 + 60 + 1 + 9 + 2 + 0 + 80 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×260192080512³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10785648 + ... + 10809744.

It is an arithmetic number, because the mean of its divisors is an integer number (2423174390).

Almost surely, 2^260192080512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260192080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465249482880).

260192080512 is an abundant number, since it is smaller than the sum of its proper divisors (670306885248).

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

260192080512 is a wasteful number, since it uses less digits than its factorization.

260192080512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24240 (or 24225 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 260192080512 in words is "two hundred sixty billion, one hundred ninety-two million, eighty thousand, five hundred twelve".