1330096896000 has 768 divisors, whose sum is σ = 4947022080000. Its totient is φ = 352545177600.

The previous prime is 1330096895971. The next prime is 1330096896013. The reversal of 1330096896000 is 6986900331.

1330096896000 is a `hidden beast` number, since 1 + 3 + 30 + 0 + 9 + 6 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1375487517 + ... + 1375488483.

It is an arithmetic number, because the mean of its divisors is an integer number (6441435000).

Almost surely, 2^{1330096896000} is an apocalyptic number.

1330096896000 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 1330096896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473511040000).

1330096896000 is an abundant number, since it is smaller than the sum of its proper divisors (3616925184000).

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

1330096896000 is an equidigital number, since it uses as much as digits as its factorization.

1330096896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 1330096896000 in words is "one trillion, three hundred thirty billion, ninety-six million, eight hundred ninety-six thousand".