260199991296 has 864 divisors, whose sum is σ = 939448692000. Its totient is φ = 68966940672.

The previous prime is 260199991243. The next prime is 260199991301. The reversal of 260199991296 is 692199991062.

It is a happy number.

260199991296 is a `hidden beast` number, since 2 + 601 + 9 + 9 + 9 + 9 + 12 + 9 + 6 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1012451200 + ... + 1012451456.

It is an arithmetic number, because the mean of its divisors is an integer number (1087324875).

Almost surely, 2^260199991296 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 260199991296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469724346000).

260199991296 is an abundant number, since it is smaller than the sum of its proper divisors (679248700704).

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

260199991296 is a wasteful number, since it uses less digits than its factorization.

260199991296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 63.

The spelling of 260199991296 in words is "two hundred sixty billion, one hundred ninety-nine million, nine hundred ninety-one thousand, two hundred ninety-six".