1300390564608 has 576 divisors, whose sum is σ = 4231021132800. Its totient is φ = 392129740800.

The previous prime is 1300390564567. The next prime is 1300390564619. The reversal of 1300390564608 is 8064650930031.

1300390564608 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 39 + 0 + 5 + 6 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 896202283 + ... + 896203733.

It is an arithmetic number, because the mean of its divisors is an integer number (7345522800).

Almost surely, 2^{1300390564608} is an apocalyptic number.

1300390564608 is a gapful number since it is divisible by the number (18) 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 1300390564608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115510566400).

1300390564608 is an abundant number, since it is smaller than the sum of its proper divisors (2930630568192).

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

1300390564608 is a wasteful number, since it uses less digits than its factorization.

1300390564608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1300390564608 in words is "one trillion, three hundred billion, three hundred ninety million, five hundred sixty-four thousand, six hundred eight".