5860879200 has 576 divisors, whose sum is σ = 24500931840. Its totient is φ = 1336320000.

The previous prime is 5860879181. The next prime is 5860879223. The reversal of 5860879200 is 29780685.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4038475 + ... + 4039925.

It is an arithmetic number, because the mean of its divisors is an integer number (42536340).

Almost surely, 2^5860879200 is an apocalyptic number.

5860879200 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 5860879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250465920).

5860879200 is an abundant number, since it is smaller than the sum of its proper divisors (18640052640).

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

5860879200 is a wasteful number, since it uses less digits than its factorization.

5860879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5860879200 is about 76556.3792247256. The cubic root of 5860879200 is about 1802.9662203909.

The spelling of 5860879200 in words is "five billion, eight hundred sixty million, eight hundred seventy-nine thousand, two hundred".