6056265600 has 576 divisors, whose sum is σ = 26952382080. Its totient is φ = 1257984000.

The previous prime is 6056265583. The next prime is 6056265619. The reversal of 6056265600 is 65626506.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2216235 + ... + 2218965.

It is an arithmetic number, because the mean of its divisors is an integer number (46792330).

Almost surely, 2^6056265600 is an apocalyptic number.

6056265600 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 6056265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476191040).

6056265600 is an abundant number, since it is smaller than the sum of its proper divisors (20896116480).

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

6056265600 is a wasteful number, since it uses less digits than its factorization.

6056265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6056265600 is about 77822.0123101427. The cubic root of 6056265600 is about 1822.7830062863.

The spelling of 6056265600 in words is "six billion, fifty-six million, two hundred sixty-five thousand, six hundred".