5812858800 has 360 divisors, whose sum is σ = 23171016960. Its totient is φ = 1321920000.

The previous prime is 5812858783. The next prime is 5812858837. The reversal of 5812858800 is 88582185.

5812858800 is a `hidden beast` number, since 58 + 12 + 8 + 588 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6324741 + ... + 6325659.

It is an arithmetic number, because the mean of its divisors is an integer number (64363936).

Almost surely, 2^5812858800 is an apocalyptic number.

5812858800 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 5812858800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11585508480).

5812858800 is an abundant number, since it is smaller than the sum of its proper divisors (17358158160).

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

5812858800 is a wasteful number, since it uses less digits than its factorization.

5812858800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The square root of 5812858800 is about 76242.1064766708. The cubic root of 5812858800 is about 1798.0285823693.

The spelling of 5812858800 in words is "five billion, eight hundred twelve million, eight hundred fifty-eight thousand, eight hundred".