260674452613080 has 1280 divisors, whose sum is σ = 981191188454400. Its totient is φ = 61535193108480.

The previous prime is 260674452613063. The next prime is 260674452613097. The reversal of 260674452613080 is 80316254476062.

260674452613080 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 7 + 4 + 4 + 526 + 1 + 30 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (260674452613063) and next prime (260674452613097).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 245225260629 + ... + 245225261691.

It is an arithmetic number, because the mean of its divisors is an integer number (766555615980).

Almost surely, 2^{260674452613080} is an apocalyptic number.

260674452613080 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 260674452613080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490595594227200).

260674452613080 is an abundant number, since it is smaller than the sum of its proper divisors (720516735841320).

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

260674452613080 is a wasteful number, since it uses less digits than its factorization.

260674452613080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 260674452613080 in words is "two hundred sixty trillion, six hundred seventy-four billion, four hundred fifty-two million, six hundred thirteen thousand, eighty".