1330528096800 has 1440 divisors, whose sum is σ = 5878862478720. Its totient is φ = 286355865600.

The previous prime is 1330528096757. The next prime is 1330528096819. The reversal of 1330528096800 is 86908250331.

It is a happy number.

1330528096800 is a `hidden beast` number, since 1 + 3 + 30 + 528 + 0 + 96 + 8 + 0 + 0 = 666.

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 (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, 539329167 + ... + 539331633.

It is an arithmetic number, because the mean of its divisors is an integer number (4082543388).

Almost surely, 2^{1330528096800} is an apocalyptic number.

1330528096800 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 1330528096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939431239360).

1330528096800 is an abundant number, since it is smaller than the sum of its proper divisors (4548334381920).

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

1330528096800 is a wasteful number, since it uses less digits than its factorization.

1330528096800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1330528096800 in words is "one trillion, three hundred thirty billion, five hundred twenty-eight million, ninety-six thousand, eight hundred".