6255541600 has 288 divisors, whose sum is σ = 19182272256. Its totient is φ = 1935206400.

The previous prime is 6255541531. The next prime is 6255541601. The reversal of 6255541600 is 61455526.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6255541601) 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, 10656507 + ... + 10657093.

It is an arithmetic number, because the mean of its divisors is an integer number (66605112).

Almost surely, 2^6255541600 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 6255541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9591136128).

6255541600 is an abundant number, since it is smaller than the sum of its proper divisors (12926730656).

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

6255541600 is a wasteful number, since it uses less digits than its factorization.

6255541600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 6255541600 is about 79091.9818945005. The cubic root of 6255541600 is about 1842.5599999363.

The spelling of 6255541600 in words is "six billion, two hundred fifty-five million, five hundred forty-one thousand, six hundred".