6005610055100 has 72 divisors (see below), whose sum is σ = 13491387120960. Its totient is φ = 2317717185280.

The previous prime is 6005610055099. The next prime is 6005610055141. The reversal of 6005610055100 is 15500165006.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3227549 + ... + 4735851.

It is an arithmetic number, because the mean of its divisors is an integer number (187380376680).

Almost surely, 2^{6005610055100} 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 6005610055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745693560480).

6005610055100 is an abundant number, since it is smaller than the sum of its proper divisors (7485777065860).

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

6005610055100 is a wasteful number, since it uses less digits than its factorization.

6005610055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509719 (or 1509712 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 6005610055100 in words is "six trillion, five billion, six hundred ten million, fifty-five thousand, one hundred".