1305768004800 has 336 divisors, whose sum is σ = 4898823336192. Its totient is φ = 298289664000.

The previous prime is 1305768004799. The next prime is 1305768004813. The reversal of 1305768004800 is 84008675031.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63863379 + ... + 63883821.

Almost surely, 2^{1305768004800} is an apocalyptic number.

1305768004800 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 1305768004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449411668096).

1305768004800 is an abundant number, since it is smaller than the sum of its proper divisors (3593055331392).

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

1305768004800 is a wasteful number, since it uses less digits than its factorization.

1305768004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22376 (or 22361 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 1305768004800 in words is "one trillion, three hundred five billion, seven hundred sixty-eight million, four thousand, eight hundred".