1328857689600 has 1440 divisors, whose sum is σ = 5856990247680. Its totient is φ = 280921374720.

The previous prime is 1328857689589. The next prime is 1328857689611. The reversal of 1328857689600 is 69867588231.

1328857689600 is a `hidden beast` number, since 13 + 2 + 8 + 8 + 5 + 7 + 6 + 8 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1328857689589) and next prime (1328857689611).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 658827792 + ... + 658829808.

Almost surely, 2^{1328857689600} is an apocalyptic number.

1328857689600 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 1328857689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928495123840).

1328857689600 is an abundant number, since it is smaller than the sum of its proper divisors (4528132558080).

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

1328857689600 is a wasteful number, since it uses less digits than its factorization.

1328857689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 1328857689600 in words is "one trillion, three hundred twenty-eight billion, eight hundred fifty-seven million, six hundred eighty-nine thousand, six hundred".