1325793188160 has 1008 divisors, whose sum is σ = 5422988902032. Its totient is φ = 296342323200.

The previous prime is 1325793188147. The next prime is 1325793188171. The reversal of 1325793188160 is 618813975231.

1325793188160 is a `hidden beast` number, since 1 + 3 + 2 + 579 + 3 + 1 + 8 + 8 + 1 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 177672366144 + 1148120822016 = 421512^2 + 1071504^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1325793188097 and 1325793188106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2005738230 + ... + 2005738890.

Almost surely, 2^{1325793188160} is an apocalyptic number.

1325793188160 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 1325793188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711494451016).

1325793188160 is an abundant number, since it is smaller than the sum of its proper divisors (4097195713872).

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

1325793188160 is a wasteful number, since it uses less digits than its factorization.

1325793188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1325793188160 in words is "one trillion, three hundred twenty-five billion, seven hundred ninety-three million, one hundred eighty-eight thousand, one hundred sixty".