2816516161536 has 864 divisors, whose sum is σ = 9699727205952. Its totient is φ = 718735933440.

The previous prime is 2816516161489. The next prime is 2816516161553. The reversal of 2816516161536 is 6351616156182.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20558512060 + ... + 20558512196.

It is an arithmetic number, because the mean of its divisors is an integer number (11226536118).

Almost surely, 2^{2816516161536} 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 2816516161536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849863602976).

2816516161536 is an abundant number, since it is smaller than the sum of its proper divisors (6883211044416).

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

2816516161536 is an equidigital number, since it uses as much as digits as its factorization.

2816516161536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 257 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The spelling of 2816516161536 in words is "two trillion, eight hundred sixteen billion, five hundred sixteen million, one hundred sixty-one thousand, five hundred thirty-six".