2160705070600 has 288 divisors, whose sum is σ = 5385997071000. Its totient is φ = 804886118400.

The previous prime is 2160705070597. The next prime is 2160705070651. The reversal of 2160705070600 is 60705070612.

It can be written as a sum of positive squares in 36 ways, for example, as 1571277292036 + 589427778564 = 1253506^2 + 767742^2 .

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 71 ways as a sum of consecutive naturals, for example, 1143834456 + ... + 1143836344.

Almost surely, 2^{2160705070600} is an apocalyptic number.

2160705070600 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 2160705070600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692998535500).

2160705070600 is an abundant number, since it is smaller than the sum of its proper divisors (3225292000400).

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

2160705070600 is a wasteful number, since it uses less digits than its factorization.

2160705070600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 2160705070600 in words is "two trillion, one hundred sixty billion, seven hundred five million, seventy thousand, six hundred".