1006882068820 has 12 divisors (see below), whose sum is σ = 2114452344564. Its totient is φ = 402752827520.

The previous prime is 1006882068811. The next prime is 1006882068833. The reversal of 1006882068820 is 288602886001.

It can be written as a sum of positive squares in 2 ways, for example, as 781448928016 + 225433140804 = 883996^2 + 474798^2 .

It is a super-2 number, since 2×1006882068820² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25172051701 + ... + 25172051740.

It is an arithmetic number, because the mean of its divisors is an integer number (176204362047).

Almost surely, 2^{1006882068820} is an apocalyptic number.

1006882068820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006882068820 is an abundant number, since it is smaller than the sum of its proper divisors (1107570275744).

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

1006882068820 is a wasteful number, since it uses less digits than its factorization.

1006882068820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50344103450 (or 50344103448 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The spelling of 1006882068820 in words is "one trillion, six billion, eight hundred eighty-two million, sixty-eight thousand, eight hundred twenty".