1325057616000 has 1536 divisors, whose sum is σ = 5185433111040. Its totient is φ = 335923200000.

The previous prime is 1325057615969. The next prime is 1325057616023. The reversal of 1325057616000 is 6167505231.

1325057616000 is a `hidden beast` number, since 1 + 3 + 25 + 0 + 576 + 1 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8775215925 + ... + 8775216075.

It is an arithmetic number, because the mean of its divisors is an integer number (3375933015).

Almost surely, 2^{1325057616000} is an apocalyptic number.

1325057616000 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 1325057616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592716555520).

1325057616000 is an abundant number, since it is smaller than the sum of its proper divisors (3860375495040).

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

1325057616000 is an equidigital number, since it uses as much as digits as its factorization.

1325057616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 1325057616000 in words is "one trillion, three hundred twenty-five billion, fifty-seven million, six hundred sixteen thousand".