1305604065220 has 384 divisors, whose sum is σ = 3562019629056. Its totient is φ = 390685261824.

The previous prime is 1305604065217. The next prime is 1305604065247. The reversal of 1305604065220 is 225604065031.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1689008754 + ... + 1689009526.

It is an arithmetic number, because the mean of its divisors is an integer number (9276092784).

Almost surely, 2^{1305604065220} is an apocalyptic number.

1305604065220 is a gapful number since it is divisible by the number (10) 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 1305604065220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781009814528).

1305604065220 is an abundant number, since it is smaller than the sum of its proper divisors (2256415563836).

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

1305604065220 is a wasteful number, since it uses less digits than its factorization.

1305604065220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 1305604065220 in words is "one trillion, three hundred five billion, six hundred four million, sixty-five thousand, two hundred twenty".