2095105416768 has 756 divisors, whose sum is σ = 7895291214720. Its totient is φ = 520003141632.

The previous prime is 2095105416713. The next prime is 2095105416809. The reversal of 2095105416768 is 8676145015902.

It is a happy number.

2095105416768 is a `hidden beast` number, since 2 + 0 + 9 + 510 + 5 + 4 + 1 + 67 + 68 = 666.

It is a super-2 number, since 2×2095105416768² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 196921593 + ... + 196932231.

Almost surely, 2^{2095105416768} is an apocalyptic number.

2095105416768 is a gapful number since it is divisible by the number (28) 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 2095105416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947645607360).

2095105416768 is an abundant number, since it is smaller than the sum of its proper divisors (5800185797952).

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

2095105416768 is a wasteful number, since it uses less digits than its factorization.

2095105416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10724 (or 10681 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 2095105416768 in words is "two trillion, ninety-five billion, one hundred five million, four hundred sixteen thousand, seven hundred sixty-eight".