5878579200 has 456 divisors, whose sum is σ = 21843893568. Its totient is φ = 1384120320.

The previous prime is 5878579181. The next prime is 5878579229. The reversal of 5878579200 is 29758785.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255590389 + ... + 255590411.

Almost surely, 2^5878579200 is an apocalyptic number.

5878579200 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 5878579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10921946784).

5878579200 is an abundant number, since it is smaller than the sum of its proper divisors (15965314368).

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

5878579200 is an equidigital number, since it uses as much as digits as its factorization.

5878579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 51.

The square root of 5878579200 is about 76671.8931551843. The cubic root of 5878579200 is about 1804.7793971794.

The spelling of 5878579200 in words is "five billion, eight hundred seventy-eight million, five hundred seventy-nine thousand, two hundred".