260169719040 has 2304 divisors, whose sum is σ = 1251187015680. Its totient is φ = 50164531200.

The previous prime is 260169719027. The next prime is 260169719041. The reversal of 260169719040 is 40917961062.

260169719040 is a `hidden beast` number, since 260 + 169 + 7 + 190 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260169719041) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 3664362205 + ... + 3664362275.

It is an arithmetic number, because the mean of its divisors is an integer number (543049920).

Almost surely, 2^260169719040 is an apocalyptic number.

260169719040 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 260169719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625593507840).

260169719040 is an abundant number, since it is smaller than the sum of its proper divisors (991017296640).

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

260169719040 is an equidigital number, since it uses as much as digits as its factorization.

260169719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 260169719040 in words is "two hundred sixty billion, one hundred sixty-nine million, seven hundred nineteen thousand, forty".