1355072660514 has 96 divisors (see below), whose sum is σ = 3064785984000. Its totient is φ = 432172621440.

The previous prime is 1355072660419. The next prime is 1355072660519. The reversal of 1355072660514 is 4150662705531.

1355072660514 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 0 + 7 + 26 + 605 + 14 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1355072660514.

It is not an unprimeable number, because it can be changed into a prime (1355072660519) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33502107 + ... + 33542529.

It is an arithmetic number, because the mean of its divisors is an integer number (31924854000).

Almost surely, 2^{1355072660514} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355072660514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532392992000).

1355072660514 is an abundant number, since it is smaller than the sum of its proper divisors (1709713323486).

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

1355072660514 is a wasteful number, since it uses less digits than its factorization.

1355072660514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41040 (or 41037 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 1355072660514 in words is "one trillion, three hundred fifty-five billion, seventy-two million, six hundred sixty thousand, five hundred fourteen".