260985119808 has 112 divisors (see below), whose sum is σ = 790399232000. Its totient is φ = 74450962944.

The previous prime is 260985119767. The next prime is 260985119809. The reversal of 260985119808 is 808911589062.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×260985119808² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (260985119809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713193 + ... + 1015191.

It is an arithmetic number, because the mean of its divisors is an integer number (7057136000).

Almost surely, 2^260985119808 is an apocalyptic number.

260985119808 is a gapful number since it is divisible by the number (28) 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 260985119808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395199616000).

260985119808 is an abundant number, since it is smaller than the sum of its proper divisors (529414112192).

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

260985119808 is a wasteful number, since it uses less digits than its factorization.

260985119808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302664 (or 302654 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 57.

The spelling of 260985119808 in words is "two hundred sixty billion, nine hundred eighty-five million, one hundred nineteen thousand, eight hundred eight".