1359471280608 has 576 divisors, whose sum is σ = 4830658560000. Its totient is φ = 354016023552.

The previous prime is 1359471280523. The next prime is 1359471280639. The reversal of 1359471280608 is 8060821749531.

1359471280608 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 4 + 7 + 1 + 28 + 0 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106210593 + ... + 106223391.

It is an arithmetic number, because the mean of its divisors is an integer number (8386560000).

It is a 1-persistent number, because it is pandigital, but 2⋅1359471280608 = 2718942561216 is not.

Almost surely, 2^{1359471280608} is an apocalyptic number.

1359471280608 is a gapful number since it is divisible by the number (18) 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 1359471280608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415329280000).

1359471280608 is an abundant number, since it is smaller than the sum of its proper divisors (3471187279392).

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

1359471280608 is a wasteful number, since it uses less digits than its factorization.

1359471280608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12947 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1359471280608 in words is "one trillion, three hundred fifty-nine billion, four hundred seventy-one million, two hundred eighty thousand, six hundred eight".