1330506000264 has 192 divisors, whose sum is σ = 3978185379840. Its totient is φ = 363225582720.

The previous prime is 1330506000259. The next prime is 1330506000323. The reversal of 1330506000264 is 4620006050331.

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 47 ways as a sum of consecutive naturals, for example, 88064599 + ... + 88079705.

It is an arithmetic number, because the mean of its divisors is an integer number (20719715520).

Almost surely, 2^{1330506000264} is an apocalyptic number.

1330506000264 is a gapful number since it is divisible by the number (14) 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 1330506000264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989092689920).

1330506000264 is an abundant number, since it is smaller than the sum of its proper divisors (2647679379576).

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

1330506000264 is a wasteful number, since it uses less digits than its factorization.

1330506000264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16160 (or 16133 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 1330506000264 in words is "one trillion, three hundred thirty billion, five hundred six million, two hundred sixty-four", and thus it is an aban number.