260221706133760 has 576 divisors, whose sum is σ = 744751646392320. Its totient is φ = 85236877393920.

The previous prime is 260221706133749. The next prime is 260221706133769. The reversal of 260221706133760 is 67331607122062.

It is a self number, because there is not a number n which added to its sum of digits gives 260221706133760.

It is not an unprimeable number, because it can be changed into a prime (260221706133769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38477256139 + ... + 38477262901.

It is an arithmetic number, because the mean of its divisors is an integer number (1292971608320).

Almost surely, 2^{260221706133760} is an apocalyptic number.

260221706133760 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 260221706133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372375823196160).

260221706133760 is an abundant number, since it is smaller than the sum of its proper divisors (484529940258560).

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

260221706133760 is a wasteful number, since it uses less digits than its factorization.

260221706133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8574 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 46.

The spelling of 260221706133760 in words is "two hundred sixty trillion, two hundred twenty-one billion, seven hundred six million, one hundred thirty-three thousand, seven hundred sixty".