2695965906816 has 1536 divisors, whose sum is σ = 10710685440000. Its totient is φ = 643778150400.

The previous prime is 2695965906811. The next prime is 2695965906869. The reversal of 2695965906816 is 6186095695962.

2695965906816 is a `hidden beast` number, since 26 + 9 + 5 + 9 + 6 + 590 + 6 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2695965906811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2244767016 + ... + 2244768216.

It is an arithmetic number, because the mean of its divisors is an integer number (6973102500).

Almost surely, 2^{2695965906816} is an apocalyptic number.

2695965906816 is a gapful number since it is divisible by the number (26) 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 2695965906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355342720000).

2695965906816 is an abundant number, since it is smaller than the sum of its proper divisors (8014719533184).

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

2695965906816 is a wasteful number, since it uses less digits than its factorization.

2695965906816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 72.

The spelling of 2695965906816 in words is "two trillion, six hundred ninety-five billion, nine hundred sixty-five million, nine hundred six thousand, eight hundred sixteen".