260170444800 has 780 divisors, whose sum is σ = 1101655556496. Its totient is φ = 59454259200.

The previous prime is 260170444769. The next prime is 260170444811. The reversal of 260170444800 is 8444071062.

260170444800 is a `hidden beast` number, since 2 + 6 + 0 + 170 + 4 + 4 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 58058560 + ... + 58063040.

Almost surely, 2^260170444800 is an apocalyptic number.

260170444800 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 260170444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550827778248).

260170444800 is an abundant number, since it is smaller than the sum of its proper divisors (841485111696).

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

260170444800 is an equidigital number, since it uses as much as digits as its factorization.

260170444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 260170444800 in words is "two hundred sixty billion, one hundred seventy million, four hundred forty-four thousand, eight hundred".