5876215200 has 288 divisors, whose sum is σ = 21395505600. Its totient is φ = 1556444160.

The previous prime is 5876215187. The next prime is 5876215207. The reversal of 5876215200 is 25126785.

It is a happy number.

5876215200 is a `hidden beast` number, since 5 + 8 + 7 + 621 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5876215200² = 69059810153422080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5876215207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3519966 + ... + 3521634.

It is an arithmetic number, because the mean of its divisors is an integer number (74289950).

Almost surely, 2^5876215200 is an apocalyptic number.

5876215200 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 5876215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10697752800).

5876215200 is an abundant number, since it is smaller than the sum of its proper divisors (15519290400).

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

5876215200 is a wasteful number, since it uses less digits than its factorization.

5876215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5876215200 is about 76656.4752646507. The cubic root of 5876215200 is about 1804.5374412927.

The spelling of 5876215200 in words is "five billion, eight hundred seventy-six million, two hundred fifteen thousand, two hundred".