1352482306560 has 640 divisors, whose sum is σ = 5989588070400. Its totient is φ = 281034178560.

The previous prime is 1352482306537. The next prime is 1352482306589. The reversal of 1352482306560 is 656032842531.

1352482306560 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 4 + 82 + 3 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 5195181 + ... + 5449299.

It is an arithmetic number, because the mean of its divisors is an integer number (9358731360).

Almost surely, 2^{1352482306560} is an apocalyptic number.

1352482306560 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 1352482306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994794035200).

1352482306560 is an abundant number, since it is smaller than the sum of its proper divisors (4637105763840).

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

1352482306560 is a wasteful number, since it uses less digits than its factorization.

1352482306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254169 (or 254147 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1352482306560 in words is "one trillion, three hundred fifty-two billion, four hundred eighty-two million, three hundred six thousand, five hundred sixty".