6059249280 has 256 divisors, whose sum is σ = 24526022400. Its totient is φ = 1384943616.

The previous prime is 6059249279. The next prime is 6059249281. The reversal of 6059249280 is 829429506.

It is an interprime number because it is at equal distance from previous prime (6059249279) and next prime (6059249281).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6059249281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95914 + ... + 146006.

It is an arithmetic number, because the mean of its divisors is an integer number (95804775).

Almost surely, 2^6059249280 is an apocalyptic number.

6059249280 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 6059249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12263011200).

6059249280 is an abundant number, since it is smaller than the sum of its proper divisors (18466773120).

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

6059249280 is a wasteful number, since it uses less digits than its factorization.

6059249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50128 (or 50110 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6059249280 is about 77841.1798471734. The cubic root of 6059249280 is about 1823.0822945869.

The spelling of 6059249280 in words is "six billion, fifty-nine million, two hundred forty-nine thousand, two hundred eighty".