6656828110920 has 192 divisors, whose sum is σ = 23300625020400. Its totient is φ = 1638482411520.

The previous prime is 6656828110913. The next prime is 6656828110969. The reversal of 6656828110920 is 290118286566.

6656828110920 is a `hidden beast` number, since 66 + 568 + 2 + 8 + 1 + 10 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 91108592964 + 6565719517956 = 301842^2 + 2562366^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74315760 + ... + 74405280.

Almost surely, 2^{6656828110920} is an apocalyptic number.

6656828110920 is a gapful number since it is divisible by the number (60) 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 6656828110920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11650312510200).

6656828110920 is an abundant number, since it is smaller than the sum of its proper divisors (16643796909480).

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

6656828110920 is a wasteful number, since it uses less digits than its factorization.

6656828110920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105440 (or 105433 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 6656828110920 in words is "six trillion, six hundred fifty-six billion, eight hundred twenty-eight million, one hundred ten thousand, nine hundred twenty".