2059516166400 has 1296 divisors, whose sum is σ = 9394498713600. Its totient is φ = 417960345600.

The previous prime is 2059516166359. The next prime is 2059516166417. The reversal of 2059516166400 is 46616159502.

2059516166400 is a `hidden beast` number, since 2 + 0 + 595 + 1 + 6 + 16 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 190708201 + ... + 190718999.

It is an arithmetic number, because the mean of its divisors is an integer number (7248841600).

Almost surely, 2^{2059516166400} is an apocalyptic number.

2059516166400 is a gapful number since it is divisible by the number (20) 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 2059516166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697249356800).

2059516166400 is an abundant number, since it is smaller than the sum of its proper divisors (7334982547200).

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

2059516166400 is a wasteful number, since it uses less digits than its factorization.

2059516166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10892 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2059516166400 in words is "two trillion, fifty-nine billion, five hundred sixteen million, one hundred sixty-six thousand, four hundred".