260375189587128 has 384 divisors, whose sum is σ = 921360279168000. Its totient is φ = 66677381971200.

The previous prime is 260375189587127. The next prime is 260375189587189. The reversal of 260375189587128 is 821785981573062.

260375189587128 is a `hidden beast` number, since 2 + 6 + 0 + 3 + 7 + 5 + 18 + 9 + 587 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260375189587127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2967138 + ... + 23012046.

It is an arithmetic number, because the mean of its divisors is an integer number (2399375727000).

Almost surely, 2^{260375189587128} is an apocalyptic number.

260375189587128 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 260375189587128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460680139584000).

260375189587128 is an abundant number, since it is smaller than the sum of its proper divisors (660985089580872).

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

260375189587128 is a wasteful number, since it uses less digits than its factorization.

260375189587128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20045024 (or 20045003 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 260375189587128 in words is "two hundred sixty trillion, three hundred seventy-five billion, one hundred eighty-nine million, five hundred eighty-seven thousand, one hundred twenty-eight".