2059166416896 has 432 divisors, whose sum is σ = 6533601800544. Its totient is φ = 645843124224.

The previous prime is 2059166416871. The next prime is 2059166416897. The reversal of 2059166416896 is 6986146619502.

2059166416896 is a `hidden beast` number, since 2 + 0 + 59 + 166 + 416 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2059166416896² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2059166416897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541456531 + ... + 541460333.

It is an arithmetic number, because the mean of its divisors is an integer number (15124078242).

Almost surely, 2^{2059166416896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059166416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266800900272).

2059166416896 is an abundant number, since it is smaller than the sum of its proper divisors (4474435383648).

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

2059166416896 is an frugal number, since it uses more digits than its factorization.

2059166416896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 2059166416896 in words is "two trillion, fifty-nine billion, one hundred sixty-six million, four hundred sixteen thousand, eight hundred ninety-six".