260190422069760 has 6400 divisors, whose sum is σ = 1265763873927168. Its totient is φ = 49533891379200.

The previous prime is 260190422069759. The next prime is 260190422069779. The reversal of 260190422069760 is 67960224091062.

260190422069760 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 90 + 422 + 0 + 69 + 76 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 260190422069697 and 260190422069706.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 960112258425 + ... + 960112258695.

Almost surely, 2^{260190422069760} is an apocalyptic number.

260190422069760 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 260190422069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632881936963584).

260190422069760 is an abundant number, since it is smaller than the sum of its proper divisors (1005573451857408).

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

260190422069760 is a wasteful number, since it uses less digits than its factorization.

260190422069760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 260190422069760 in words is "two hundred sixty trillion, one hundred ninety billion, four hundred twenty-two million, sixty-nine thousand, seven hundred sixty".