260207375042160 has 1920 divisors, whose sum is σ = 1117902449664000. Its totient is φ = 52791576035328.

The previous prime is 260207375042149. The next prime is 260207375042207. The reversal of 260207375042160 is 61240573702062.

260207375042160 is a `hidden beast` number, since 2 + 60 + 2 + 0 + 7 + 3 + 7 + 504 + 21 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33287366572 + ... + 33287374388.

It is an arithmetic number, because the mean of its divisors is an integer number (582240859200).

Almost surely, 2^{260207375042160} is an apocalyptic number.

260207375042160 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 260207375042160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558951224832000).

260207375042160 is an abundant number, since it is smaller than the sum of its proper divisors (857695074621840).

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

260207375042160 is a wasteful number, since it uses less digits than its factorization.

260207375042160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8103 (or 8094 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 260207375042160 in words is "two hundred sixty trillion, two hundred seven billion, three hundred seventy-five million, forty-two thousand, one hundred sixty".