2665005416160 has 384 divisors, whose sum is σ = 8961887620224. Its totient is φ = 663371120640.

The previous prime is 2665005416113. The next prime is 2665005416191. The reversal of 2665005416160 is 616145005662.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505403284 + ... + 505408556.

It is an arithmetic number, because the mean of its divisors is an integer number (23338249011).

Almost surely, 2^{2665005416160} is an apocalyptic number.

2665005416160 is a gapful number since it is divisible by the number (20) 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 2665005416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480943810112).

2665005416160 is an abundant number, since it is smaller than the sum of its proper divisors (6296882204064).

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

2665005416160 is a wasteful number, since it uses less digits than its factorization.

2665005416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 2665005416160 in words is "two trillion, six hundred sixty-five billion, five million, four hundred sixteen thousand, one hundred sixty".