5878416960 has 336 divisors, whose sum is σ = 21912626736. Its totient is φ = 1437843456.

The previous prime is 5878416949. The next prime is 5878416977. The reversal of 5878416960 is 696148785.

It can be written as a sum of positive squares in 8 ways, for example, as 13307904 + 5865109056 = 3648^2 + 76584^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5878416897 and 5878416906.

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 47 ways as a sum of consecutive naturals, for example, 7375282 + ... + 7376078.

It is an arithmetic number, because the mean of its divisors is an integer number (65216151).

Almost surely, 2^5878416960 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 5878416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10956313368).

5878416960 is an abundant number, since it is smaller than the sum of its proper divisors (16034209776).

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

5878416960 is a wasteful number, since it uses less digits than its factorization.

5878416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 5878416960 is about 76670.8351330543. The cubic root of 5878416960 is about 1804.7627939553.

The spelling of 5878416960 in words is "five billion, eight hundred seventy-eight million, four hundred sixteen thousand, nine hundred sixty".