2775772775772 has 144 divisors (see below), whose sum is σ = 7821360368640. Its totient is φ = 824884425216.

The previous prime is 2775772775767. The next prime is 2775772775851.

2775772775772 is a `hidden beast` number, since 27 + 7 + 5 + 7 + 7 + 27 + 7 + 577 + 2 = 666.

2775772775772 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2775772775772.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 127745973 + ... + 127767699.

It is an arithmetic number, because the mean of its divisors is an integer number (54315002560).

Almost surely, 2^{2775772775772} 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 2775772775772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910680184320).

2775772775772 is an abundant number, since it is smaller than the sum of its proper divisors (5045587592868).

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

2775772775772 is a wasteful number, since it uses less digits than its factorization.

2775772775772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32760 (or 32755 counting only the distinct ones).

The product of its digits is 1152960200, while the sum is 72.

The spelling of 2775772775772 in words is "two trillion, seven hundred seventy-five billion, seven hundred seventy-two million, seven hundred seventy-five thousand, seven hundred seventy-two".