2165057825112 has 576 divisors, whose sum is σ = 7921499040000. Its totient is φ = 540940488192.

The previous prime is 2165057825069. The next prime is 2165057825129. The reversal of 2165057825112 is 2115287505612.

It is a happy number.

2165057825112 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 0 + 57 + 82 + 511 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43670514 + ... + 43720062.

It is an arithmetic number, because the mean of its divisors is an integer number (13752602500).

Almost surely, 2^{2165057825112} 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 2165057825112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960749520000).

2165057825112 is an abundant number, since it is smaller than the sum of its proper divisors (5756441214888).

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

2165057825112 is a wasteful number, since it uses less digits than its factorization.

2165057825112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49622 (or 49593 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 2165057825112 in words is "two trillion, one hundred sixty-five billion, fifty-seven million, eight hundred twenty-five thousand, one hundred twelve".