6056013600 has 1080 divisors, whose sum is σ = 27676978560. Its totient is φ = 1261578240.

The previous prime is 6056013589. The next prime is 6056013673. The reversal of 6056013600 is 63106506.

6056013600 is a `hidden beast` number, since 6 + 0 + 56 + 0 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 76658361 + ... + 76658439.

It is an arithmetic number, because the mean of its divisors is an integer number (25626832).

Almost surely, 2^6056013600 is an apocalyptic number.

6056013600 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 6056013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13838489280).

6056013600 is an abundant number, since it is smaller than the sum of its proper divisors (21620964960).

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

6056013600 is a wasteful number, since it uses less digits than its factorization.

6056013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6056013600 is about 77820.3932141184. The cubic root of 6056013600 is about 1822.7577240569.

The spelling of 6056013600 in words is "six billion, fifty-six million, thirteen thousand, six hundred".