260999516160 has 312 divisors, whose sum is σ = 952315802880. Its totient is φ = 65935835136.

The previous prime is 260999516147. The next prime is 260999516177. The reversal of 260999516160 is 61615999062.

260999516160 is a `hidden beast` number, since 2 + 60 + 9 + 9 + 9 + 516 + 1 + 60 = 666.

It is a super-3 number, since 3×260999516160³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 260999516097 and 260999516106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3464817 + ... + 3539343.

It is an arithmetic number, because the mean of its divisors is an integer number (3052294240).

Almost surely, 2^260999516160 is an apocalyptic number.

260999516160 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 260999516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476157901440).

260999516160 is an abundant number, since it is smaller than the sum of its proper divisors (691316286720).

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

260999516160 is a wasteful number, since it uses less digits than its factorization.

260999516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74581 (or 74556 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 260999516160 in words is "two hundred sixty billion, nine hundred ninety-nine million, five hundred sixteen thousand, one hundred sixty".