1059616446768 has 400 divisors, whose sum is σ = 3527226743040. Its totient is φ = 303721228800.

The previous prime is 1059616446767. The next prime is 1059616446781. The reversal of 1059616446768 is 8676446169501.

It is a happy number.

1059616446768 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 6 + 164 + 467 + 6 + 8 = 666.

It is a super-2 number, since 2×1059616446768² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1059616446767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 196915438 + ... + 196920818.

Almost surely, 2^{1059616446768} is an apocalyptic number.

1059616446768 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 1059616446768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763613371520).

1059616446768 is an abundant number, since it is smaller than the sum of its proper divisors (2467610296272).

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

1059616446768 is a wasteful number, since it uses less digits than its factorization.

1059616446768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 1059616446768 in words is "one trillion, fifty-nine billion, six hundred sixteen million, four hundred forty-six thousand, seven hundred sixty-eight".