6557066210100 has 288 divisors, whose sum is σ = 22922888396800. Its totient is φ = 1413673689600.

The previous prime is 6557066210089. The next prime is 6557066210153. The reversal of 6557066210100 is 10126607556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8778285 + ... + 9495915.

Almost surely, 2^{6557066210100} is an apocalyptic number.

6557066210100 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 6557066210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461444198400).

6557066210100 is an abundant number, since it is smaller than the sum of its proper divisors (16365822186700).

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

6557066210100 is a wasteful number, since it uses less digits than its factorization.

6557066210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717903 (or 717896 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 6557066210100 in words is "six trillion, five hundred fifty-seven billion, sixty-six million, two hundred ten thousand, one hundred".