1323827608320 has 1008 divisors, whose sum is σ = 5719990429440. Its totient is φ = 286636548096.

The previous prime is 1323827608217. The next prime is 1323827608333. The reversal of 1323827608320 is 238067283231.

1323827608320 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 8 + 2 + 7 + 608 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 111 ways as a sum of consecutive naturals, for example, 124099627 + ... + 124110293.

It is an arithmetic number, because the mean of its divisors is an integer number (5674593680).

Almost surely, 2^{1323827608320} is an apocalyptic number.

1323827608320 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 1323827608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859995214720).

1323827608320 is an abundant number, since it is smaller than the sum of its proper divisors (4396162821120).

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

1323827608320 is an equidigital number, since it uses as much as digits as its factorization.

1323827608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10732 (or 10703 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1323827608320 in words is "one trillion, three hundred twenty-three billion, eight hundred twenty-seven million, six hundred eight thousand, three hundred twenty".