5815449120 has 384 divisors, whose sum is σ = 20483850240. Its totient is φ = 1377792000.

The previous prime is 5815449119. The next prime is 5815449163. The reversal of 5815449120 is 219445185.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23168995 + ... + 23169245.

It is an arithmetic number, because the mean of its divisors is an integer number (53343360).

Almost surely, 2^5815449120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5815449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241925120).

5815449120 is an abundant number, since it is smaller than the sum of its proper divisors (14668401120).

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

5815449120 is a wasteful number, since it uses less digits than its factorization.

5815449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 5815449120 is about 76259.0920480961. The cubic root of 5815449120 is about 1798.2956212401.

The spelling of 5815449120 in words is "five billion, eight hundred fifteen million, four hundred forty-nine thousand, one hundred twenty".