2106727365312 has 448 divisors, whose sum is σ = 7049804544000. Its totient is φ = 612818141184.

The previous prime is 2106727365299. The next prime is 2106727365319. The reversal of 2106727365312 is 2135637276012.

2106727365312 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 7 + 273 + 65 + 312 = 666.

It is a super-2 number, since 2×2106727365312² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2106727365319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26192614 + ... + 26272922.

Almost surely, 2^{2106727365312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106727365312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524902272000).

2106727365312 is an abundant number, since it is smaller than the sum of its proper divisors (4943077178688).

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

2106727365312 is a wasteful number, since it uses less digits than its factorization.

2106727365312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80413 (or 80397 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 2106727365312 in words is "two trillion, one hundred six billion, seven hundred twenty-seven million, three hundred sixty-five thousand, three hundred twelve".