1059984009216 has 1344 divisors, whose sum is σ = 3781185408000. Its totient is φ = 293462507520.

The previous prime is 1059984009209. The next prime is 1059984009239. The reversal of 1059984009216 is 6129004899501.

1059984009216 is a `hidden beast` number, since 1 + 0 + 59 + 98 + 400 + 92 + 16 = 666.

It is a super-2 number, since 2×1059984009216² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 111 ways as a sum of consecutive naturals, for example, 13417519065 + ... + 13417519143.

It is an arithmetic number, because the mean of its divisors is an integer number (2813382000).

Almost surely, 2^{1059984009216} is an apocalyptic number.

1059984009216 is a gapful number since it is divisible by the number (16) 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 1059984009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890592704000).

1059984009216 is an abundant number, since it is smaller than the sum of its proper divisors (2721201398784).

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

1059984009216 is an equidigital number, since it uses as much as digits as its factorization.

1059984009216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

It can be divided in two parts, 105998400 and 9216, that added together give a square (106007616 = 10296²).

The spelling of 1059984009216 in words is "one trillion, fifty-nine billion, nine hundred eighty-four million, nine thousand, two hundred sixteen".