2125166035392 has 168 divisors, whose sum is σ = 6412947864960. Its totient is φ = 671006384640.

The previous prime is 2125166035381. The next prime is 2125166035393. The reversal of 2125166035392 is 2935306615212.

2125166035392 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 1 + 6 + 603 + 5 + 39 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125166035393) 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 23 ways as a sum of consecutive naturals, for example, 122246733 + ... + 122264115.

It is an arithmetic number, because the mean of its divisors is an integer number (38172308720).

Almost surely, 2^{2125166035392} 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 2125166035392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206473932480).

2125166035392 is an abundant number, since it is smaller than the sum of its proper divisors (4287781829568).

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

2125166035392 is a wasteful number, since it uses less digits than its factorization.

2125166035392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28591 (or 28578 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 2125166035392 in words is "two trillion, one hundred twenty-five billion, one hundred sixty-six million, thirty-five thousand, three hundred ninety-two".