260693625329280 has 3584 divisors, whose sum is σ = 1121441419929600. Its totient is φ = 57094283427840.

The previous prime is 260693625329279. The next prime is 260693625329299. The reversal of 260693625329280 is 82923526396062.

260693625329280 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 9 + 3 + 6 + 2 + 532 + 92 + 8 + 0 = 666.

It is a super-2 number, since 2×260693625329280² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 991230514429 + ... + 991230514691.

It is an arithmetic number, because the mean of its divisors is an integer number (312902181900).

Almost surely, 2^{260693625329280} is an apocalyptic number.

260693625329280 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 260693625329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560720709964800).

260693625329280 is an abundant number, since it is smaller than the sum of its proper divisors (860747794600320).

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

260693625329280 is a wasteful number, since it uses less digits than its factorization.

260693625329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 260693625329280 in words is "two hundred sixty trillion, six hundred ninety-three billion, six hundred twenty-five million, three hundred twenty-nine thousand, two hundred eighty".