2130959703600 has 1440 divisors, whose sum is σ = 9948627247104. Its totient is φ = 409477939200.

The previous prime is 2130959703571. The next prime is 2130959703619. The reversal of 2130959703600 is 63079590312.

2130959703600 is a `hidden beast` number, since 2 + 1 + 30 + 9 + 5 + 9 + 7 + 0 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 172639029 + ... + 172651371.

Almost surely, 2^{2130959703600} is an apocalyptic number.

2130959703600 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 2130959703600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974313623552).

2130959703600 is an abundant number, since it is smaller than the sum of its proper divisors (7817667543504).

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

2130959703600 is a wasteful number, since it uses less digits than its factorization.

2130959703600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12435 (or 12421 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 2130959703600 in words is "two trillion, one hundred thirty billion, nine hundred fifty-nine million, seven hundred three thousand, six hundred".