1330005991860 has 720 divisors, whose sum is σ = 5467185351936. Its totient is φ = 264103317504.

The previous prime is 1330005991823. The next prime is 1330005991933. The reversal of 1330005991860 is 681995000331.

1330005991860 is a `hidden beast` number, since 13 + 30 + 0 + 0 + 599 + 18 + 6 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32559409 + ... + 32600231.

Almost surely, 2^{1330005991860} is an apocalyptic number.

1330005991860 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 1330005991860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733592675968).

1330005991860 is an abundant number, since it is smaller than the sum of its proper divisors (4137179360076).

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

1330005991860 is a wasteful number, since it uses less digits than its factorization.

1330005991860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40894 (or 40870 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 1330005991860 in words is "one trillion, three hundred thirty billion, five million, nine hundred ninety-one thousand, eight hundred sixty".