260785140587520 has 704 divisors, whose sum is σ = 874254458068992. Its totient is φ = 66266726400000.

The previous prime is 260785140587269. The next prime is 260785140587611. The reversal of 260785140587520 is 25785041587062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28972903020 + ... + 28972912020.

It is an arithmetic number, because the mean of its divisors is an integer number (1241838718848).

Almost surely, 2^{260785140587520} is an apocalyptic number.

260785140587520 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 260785140587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437127229034496).

260785140587520 is an abundant number, since it is smaller than the sum of its proper divisors (613469317481472).

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

260785140587520 is a wasteful number, since it uses less digits than its factorization.

260785140587520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9988 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 60.

The spelling of 260785140587520 in words is "two hundred sixty trillion, seven hundred eighty-five billion, one hundred forty million, five hundred eighty-seven thousand, five hundred twenty".