260571325470720 has 768 divisors, whose sum is σ = 941864351500800. Its totient is φ = 60919476387840.

The previous prime is 260571325470667. The next prime is 260571325470737. The reversal of 260571325470720 is 27074523175062.

260571325470720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8653102384 + ... + 8653132496.

It is an arithmetic number, because the mean of its divisors is an integer number (1226385874350).

Almost surely, 2^{260571325470720} is an apocalyptic number.

260571325470720 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 260571325470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470932175750400).

260571325470720 is an abundant number, since it is smaller than the sum of its proper divisors (681293026030080).

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

260571325470720 is a wasteful number, since it uses less digits than its factorization.

260571325470720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31066 (or 31046 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 260571325470720 in words is "two hundred sixty trillion, five hundred seventy-one billion, three hundred twenty-five million, four hundred seventy thousand, seven hundred twenty".