1328656590000 has 1200 divisors, whose sum is σ = 5145066051840. Its totient is φ = 318504960000.

The previous prime is 1328656589993. The next prime is 1328656590011. The reversal of 1328656590000 is 956568231.

1328656590000 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 6 + 56 + 590 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5169869872 + ... + 5169870128.

Almost surely, 2^{1328656590000} is an apocalyptic number.

1328656590000 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 1328656590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572533025920).

1328656590000 is an abundant number, since it is smaller than the sum of its proper divisors (3816409461840).

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

1328656590000 is a wasteful number, since it uses less digits than its factorization.

1328656590000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1328656590000 in words is "one trillion, three hundred twenty-eight billion, six hundred fifty-six million, five hundred ninety thousand".