6055605600 has 288 divisors, whose sum is σ = 22440063744. Its totient is φ = 1404057600.

The previous prime is 6055605593. The next prime is 6055605601. The reversal of 6055605600 is 65065506.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6055605601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602214 + ... + 612186.

It is an arithmetic number, because the mean of its divisors is an integer number (77916888).

Almost surely, 2^6055605600 is an apocalyptic number.

6055605600 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 6055605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11220031872).

6055605600 is an abundant number, since it is smaller than the sum of its proper divisors (16384458144).

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

6055605600 is a wasteful number, since it uses less digits than its factorization.

6055605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10030 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 6055605600 is about 77817.7717491320. The cubic root of 6055605600 is about 1822.7167894365.

The spelling of 6055605600 in words is "six billion, fifty-five million, six hundred five thousand, six hundred".