1328101865280 has 672 divisors, whose sum is σ = 4883642150400. Its totient is φ = 330526310400.

The previous prime is 1328101865231. The next prime is 1328101865281. The reversal of 1328101865280 is 825681018231.

1328101865280 is a `hidden beast` number, since 1 + 32 + 8 + 10 + 1 + 86 + 528 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328101865281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 698632330 + ... + 698634230.

Almost surely, 2^{1328101865280} is an apocalyptic number.

1328101865280 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 1328101865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441821075200).

1328101865280 is an abundant number, since it is smaller than the sum of its proper divisors (3555540285120).

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

1328101865280 is a wasteful number, since it uses less digits than its factorization.

1328101865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1328101865280 in words is "one trillion, three hundred twenty-eight billion, one hundred one million, eight hundred sixty-five thousand, two hundred eighty".