5867713200 has 240 divisors, whose sum is σ = 19980435456. Its totient is φ = 1466880000.

The previous prime is 5867713127. The next prime is 5867713207. The reversal of 5867713200 is 23177685.

It is a Cunningham number, because it is equal to 76601²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (5867713207) 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, 7812825 + ... + 7813575.

Almost surely, 2^5867713200 is an apocalyptic number.

5867713200 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 5867713200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9990217728).

5867713200 is an abundant number, since it is smaller than the sum of its proper divisors (14112722256).

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

5867713200 is a wasteful number, since it uses less digits than its factorization.

5867713200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 5867713200 is about 76600.9999934727. Note that the first 5 decimals coincide. The cubic root of 5867713200 is about 1803.6667230933. Note that the first 3 decimals are identical.

The spelling of 5867713200 in words is "five billion, eight hundred sixty-seven million, seven hundred thirteen thousand, two hundred".