1059731985312 has 1728 divisors, whose sum is σ = 4452961443840. Its totient is φ = 229995417600.

The previous prime is 1059731985269. The next prime is 1059731985329. The reversal of 1059731985312 is 2135891379501.

1059731985312 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 7 + 319 + 8 + 5 + 312 = 666.

It is a super-2 number, since 2×1059731985312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13414328889 + ... + 13414328967.

It is an arithmetic number, because the mean of its divisors is an integer number (2576945280).

Almost surely, 2^{1059731985312} is an apocalyptic number.

1059731985312 is a gapful number since it is divisible by the number (12) 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 1059731985312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226480721920).

1059731985312 is an abundant number, since it is smaller than the sum of its proper divisors (3393229458528).

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

1059731985312 is a wasteful number, since it uses less digits than its factorization.

1059731985312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 1059731985312 in words is "one trillion, fifty-nine billion, seven hundred thirty-one million, nine hundred eighty-five thousand, three hundred twelve".