5877946200 has 192 divisors, whose sum is σ = 21543264000. Its totient is φ = 1297175040.

The previous prime is 5877946127. The next prime is 5877946201. The reversal of 5877946200 is 26497785.

It is a self number, because there is not a number n which added to its sum of digits gives 5877946200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5877946201) 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, 97671 + ... + 145929.

It is an arithmetic number, because the mean of its divisors is an integer number (112204500).

Almost surely, 2^5877946200 is an apocalyptic number.

5877946200 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 5877946200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771632000).

5877946200 is an abundant number, since it is smaller than the sum of its proper divisors (15665317800).

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

5877946200 is a wasteful number, since it uses less digits than its factorization.

5877946200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48314 (or 48305 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 5877946200 is about 76667.7650645954. The cubic root of 5877946200 is about 1804.7146158591.

The spelling of 5877946200 in words is "five billion, eight hundred seventy-seven million, nine hundred forty-six thousand, two hundred".