2765505125166 has 256 divisors, whose sum is σ = 6692877434880. Its totient is φ = 745591080960.

The previous prime is 2765505125113. The next prime is 2765505125239. The reversal of 2765505125166 is 6615215055672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1212407946 + ... + 1212410226.

It is an arithmetic number, because the mean of its divisors is an integer number (26144052480).

Almost surely, 2^{2765505125166} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2765505125166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346438717440).

2765505125166 is an abundant number, since it is smaller than the sum of its proper divisors (3927372309714).

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

2765505125166 is a wasteful number, since it uses less digits than its factorization.

2765505125166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599.

The product of its (nonzero) digits is 3780000, while the sum is 51.

The spelling of 2765505125166 in words is "two trillion, seven hundred sixty-five billion, five hundred five million, one hundred twenty-five thousand, one hundred sixty-six".