6059998800 has 300 divisors, whose sum is σ = 22165484220. Its totient is φ = 1585059840.

The previous prime is 6059998799. The next prime is 6059998829. The reversal of 6059998800 is 88999506.

It can be written as a sum of positive squares in 6 ways, for example, as 415181376 + 5644817424 = 20376^2 + 75132^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1715436 + ... + 1718964.

Almost surely, 2^6059998800 is an apocalyptic number.

6059998800 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 6059998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11082742110).

6059998800 is an abundant number, since it is smaller than the sum of its proper divisors (16105485420).

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

6059998800 is a wasteful number, since it uses less digits than its factorization.

6059998800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 6059998800 is about 77845.9941165889. The cubic root of 6059998800 is about 1823.1574623313.

The spelling of 6059998800 in words is "six billion, fifty-nine million, nine hundred ninety-eight thousand, eight hundred".