2016516010000 has 100 divisors (see below), whose sum is σ = 4882990014892. Its totient is φ = 806473728000.

The previous prime is 2016516009973. The next prime is 2016516010021. The reversal of 2016516010000 is 106156102.

It can be written as a sum of positive squares in 10 ways, for example, as 1436920048656 + 579595961344 = 1198716^2 + 761312^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80157424 + ... + 80182576.

Almost surely, 2^{2016516010000} is an apocalyptic number.

2016516010000 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 2016516010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441495007446).

2016516010000 is an abundant number, since it is smaller than the sum of its proper divisors (2866474004892).

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

2016516010000 is an equidigital number, since it uses as much as digits as its factorization.

2016516010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33198 (or 33177 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The spelling of 2016516010000 in words is "two trillion, sixteen billion, five hundred sixteen million, ten thousand".