2011075679376 has 135 divisors (see below), whose sum is σ = 5728088873299. Its totient is φ = 658667545536.

The previous prime is 2011075679369. The next prime is 2011075679401. The reversal of 2011075679376 is 6739765701102.

The square root of 2011075679376 is 1418124.

It is a perfect power (a square), and thus also a powerful number.

2011075679376 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 0 + 7 + 567 + 9 + 3 + 76 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1004030791 + ... + 1004032793.

Almost surely, 2^{2011075679376} is an apocalyptic number.

2011075679376 is the 1418124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011075679376

2011075679376 is an abundant number, since it is smaller than the sum of its proper divisors (3717013193923).

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

2011075679376 is an frugal number, since it uses more digits than its factorization.

2011075679376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 2011075679376 in words is "two trillion, eleven billion, seventy-five million, six hundred seventy-nine thousand, three hundred seventy-six".