2125161077760 has 792 divisors, whose sum is σ = 9016869111120. Its totient is φ = 460175966208.

The previous prime is 2125161077747. The next prime is 2125161077777. The reversal of 2125161077760 is 677701615212.

2125161077760 is a `hidden beast` number, since 2 + 1 + 2 + 516 + 1 + 0 + 7 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42875712 + ... + 42925248.

Almost surely, 2^{2125161077760} is an apocalyptic number.

2125161077760 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 2125161077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508434555560).

2125161077760 is an abundant number, since it is smaller than the sum of its proper divisors (6891708033360).

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

2125161077760 is a wasteful number, since it uses less digits than its factorization.

2125161077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49601 (or 49573 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 2125161077760 in words is "two trillion, one hundred twenty-five billion, one hundred sixty-one million, seventy-seven thousand, seven hundred sixty".