5880729600 has 390 divisors, whose sum is σ = 21814353110. Its totient is φ = 1565982720.

The previous prime is 5880729599. The next prime is 5880729611. The reversal of 5880729600 is 69270885.

5880729600 is a `hidden beast` number, since 588 + 0 + 7 + 2 + 9 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11943936 + 5868785664 = 3456^2 + 76608^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8294046 + ... + 8294754.

Almost surely, 2^5880729600 is an apocalyptic number.

5880729600 is a gapful number since it is divisible by the number (50) 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 5880729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10907176555).

5880729600 is an abundant number, since it is smaller than the sum of its proper divisors (15933623510).

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

5880729600 is an equidigital number, since it uses as much as digits as its factorization.

5880729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5880729600 is about 76685.9152647994. The cubic root of 5880729600 is about 1804.9994347289. Note that the first 3 decimals are identical.

The spelling of 5880729600 in words is "five billion, eight hundred eighty million, seven hundred twenty-nine thousand, six hundred".