260120021760 has 288 divisors, whose sum is σ = 932216564160. Its totient is φ = 68677632000.

The previous prime is 260120021717. The next prime is 260120021761. The reversal of 260120021760 is 67120021062.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (260120021761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3453300 + ... + 3527820.

It is an arithmetic number, because the mean of its divisors is an integer number (3236863070).

Almost surely, 2^260120021760 is an apocalyptic number.

260120021760 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 260120021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466108282080).

260120021760 is an abundant number, since it is smaller than the sum of its proper divisors (672096542400).

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

260120021760 is a wasteful number, since it uses less digits than its factorization.

260120021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74652 (or 74632 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 260120021760 in words is "two hundred sixty billion, one hundred twenty million, twenty-one thousand, seven hundred sixty".