260309605664160 has 2304 divisors, whose sum is σ = 1069770359024640. Its totient is φ = 59617141309440.

The previous prime is 260309605664029. The next prime is 260309605664203. The reversal of 260309605664160 is 61466506903062.

260309605664160 is a `hidden beast` number, since 2 + 6 + 0 + 3 + 0 + 9 + 60 + 566 + 4 + 16 + 0 = 666.

It is a super-2 number, since 2×260309605664160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 260309605664097 and 260309605664106.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 72691873570 + ... + 72691877150.

It is an arithmetic number, because the mean of its divisors is an integer number (464310051660).

Almost surely, 2^{260309605664160} is an apocalyptic number.

260309605664160 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 260309605664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534885179512320).

260309605664160 is an abundant number, since it is smaller than the sum of its proper divisors (809460753360480).

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

260309605664160 is a wasteful number, since it uses less digits than its factorization.

260309605664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 260309605664160 in words is "two hundred sixty trillion, three hundred nine billion, six hundred five million, six hundred sixty-four thousand, one hundred sixty".