1325894744160 has 576 divisors, whose sum is σ = 5483777749632. Its totient is φ = 284785901568.

The previous prime is 1325894744117. The next prime is 1325894744171. The reversal of 1325894744160 is 614474985231.

1325894744160 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 8 + 9 + 474 + 4 + 160 = 666.

It is a super-2 number, since 2×1325894744160² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1325894744097 and 1325894744106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115319532 + ... + 115331028.

It is an arithmetic number, because the mean of its divisors is an integer number (9520447482).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1325894744160 = 2651789488320, but 3⋅1325894744160 = 3977684232480 is not.

Almost surely, 2^{1325894744160} is an apocalyptic number.

1325894744160 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 1325894744160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741888874816).

1325894744160 is an abundant number, since it is smaller than the sum of its proper divisors (4157883005472).

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

1325894744160 is a wasteful number, since it uses less digits than its factorization.

1325894744160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12215 (or 12204 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1325894744160 in words is "one trillion, three hundred twenty-five billion, eight hundred ninety-four million, seven hundred forty-four thousand, one hundred sixty".