1325738540160 has 1536 divisors, whose sum is σ = 5188483123200. Its totient is φ = 310542336000.

The previous prime is 1325738540131. The next prime is 1325738540167. The reversal of 1325738540160 is 610458375231.

It is a happy number.

1325738540160 is a `hidden beast` number, since 1 + 3 + 25 + 73 + 8 + 540 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1325738540167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13126124110 + ... + 13126124210.

It is an arithmetic number, because the mean of its divisors is an integer number (3377918700).

Almost surely, 2^{1325738540160} is an apocalyptic number.

1325738540160 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 1325738540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594241561600).

1325738540160 is an abundant number, since it is smaller than the sum of its proper divisors (3862744583040).

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

1325738540160 is a wasteful number, since it uses less digits than its factorization.

1325738540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1325738540160 in words is "one trillion, three hundred twenty-five billion, seven hundred thirty-eight million, five hundred forty thousand, one hundred sixty".