1216584075355 has 32 divisors (see below), whose sum is σ = 1600783059456. Its totient is φ = 880256160000.

The previous prime is 1216584075341. The next prime is 1216584075359. The reversal of 1216584075355 is 5535704856121.

It is a happy number.

It is not a de Polignac number, because 1216584075355 - 2⁵ = 1216584075323 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1216584075359) 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 31 ways as a sum of consecutive naturals, for example, 32370775 + ... + 32408335.

It is an arithmetic number, because the mean of its divisors is an integer number (50024470608).

Almost surely, 2^{1216584075355} is an apocalyptic number.

1216584075355 is a deficient number, since it is larger than the sum of its proper divisors (384198984101).

1216584075355 is a wasteful number, since it uses less digits than its factorization.

1216584075355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40579.

The product of its (nonzero) digits is 5040000, while the sum is 52.

The spelling of 1216584075355 in words is "one trillion, two hundred sixteen billion, five hundred eighty-four million, seventy-five thousand, three hundred fifty-five".