5871667200 has 576 divisors, whose sum is σ = 22878535680. Its totient is φ = 1300561920.

The previous prime is 5871667177. The next prime is 5871667211. The reversal of 5871667200 is 27661785.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46233537 + ... + 46233663.

It is an arithmetic number, because the mean of its divisors is an integer number (39719680).

Almost surely, 2^5871667200 is an apocalyptic number.

5871667200 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 5871667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439267840).

5871667200 is an abundant number, since it is smaller than the sum of its proper divisors (17006868480).

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

5871667200 is a wasteful number, since it uses less digits than its factorization.

5871667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 5871667200 is about 76626.8047095793. The cubic root of 5871667200 is about 1804.0717699809.

The spelling of 5871667200 in words is "five billion, eight hundred seventy-one million, six hundred sixty-seven thousand, two hundred".