2128851093600 has 4608 divisors, whose sum is σ = 11015294976000. Its totient is φ = 383201280000.

The previous prime is 2128851093559. The next prime is 2128851093643. The reversal of 2128851093600 is 63901588212.

2128851093600 is a `hidden beast` number, since 2 + 1 + 28 + 8 + 5 + 10 + 9 + 3 + 600 = 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 767 ways as a sum of consecutive naturals, for example, 21077733550 + ... + 21077733650.

It is an arithmetic number, because the mean of its divisors is an integer number (2390472000).

Almost surely, 2^{2128851093600} is an apocalyptic number.

2128851093600 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 2128851093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507647488000).

2128851093600 is an abundant number, since it is smaller than the sum of its proper divisors (8886443882400).

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

2128851093600 is a wasteful number, since it uses less digits than its factorization.

2128851093600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2128851093600 in words is "two trillion, one hundred twenty-eight billion, eight hundred fifty-one million, ninety-three thousand, six hundred".