2125786672128 has 528 divisors, whose sum is σ = 6708613121280. Its totient is φ = 596625555456.

The previous prime is 2125786672021. The next prime is 2125786672147. The reversal of 2125786672128 is 8212766875212.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2861085325 + ... + 2861086067.

Almost surely, 2^{2125786672128} is an apocalyptic number.

2125786672128 is a gapful number since it is divisible by the number (28) 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 2125786672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354306560640).

2125786672128 is an abundant number, since it is smaller than the sum of its proper divisors (4582826449152).

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

2125786672128 is a wasteful number, since it uses less digits than its factorization.

2125786672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1067 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 57.

The spelling of 2125786672128 in words is "two trillion, one hundred twenty-five billion, seven hundred eighty-six million, six hundred seventy-two thousand, one hundred twenty-eight".