2012627858832 has 180 divisors, whose sum is σ = 5898163782420. Its totient is φ = 640424918016.

The previous prime is 2012627858807. The next prime is 2012627858837. The reversal of 2012627858832 is 2388587262102.

2012627858832 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 6 + 27 + 8 + 588 + 32 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 509247795456 + 1503380063376 = 713616^2 + 1226124^2 .

It is a super-3 number, since 3×2012627858832³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2012627858837) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10351894 + ... + 10544522.

It is an arithmetic number, because the mean of its divisors is an integer number (32767576569).

Almost surely, 2^{2012627858832} 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 2012627858832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949081891210).

2012627858832 is an abundant number, since it is smaller than the sum of its proper divisors (3885535923588).

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

2012627858832 is a wasteful number, since it uses less digits than its factorization.

2012627858832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192770 (or 192724 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2012627858832 in words is "two trillion, twelve billion, six hundred twenty-seven million, eight hundred fifty-eight thousand, eight hundred thirty-two".