6655557120100 has 288 divisors, whose sum is σ = 17716706058240. Its totient is φ = 2120849533440.

The previous prime is 6655557120041. The next prime is 6655557120143. The reversal of 6655557120100 is 10217555566.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105149662 + ... + 105212938.

It is an arithmetic number, because the mean of its divisors is an integer number (61516340480).

Almost surely, 2^{6655557120100} 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 6655557120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858353029120).

6655557120100 is an abundant number, since it is smaller than the sum of its proper divisors (11061148938140).

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

6655557120100 is a wasteful number, since it uses less digits than its factorization.

6655557120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63507 (or 63500 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 43.

The spelling of 6655557120100 in words is "six trillion, six hundred fifty-five billion, five hundred fifty-seven million, one hundred twenty thousand, one hundred".