5894128800 has 432 divisors, whose sum is σ = 24056585280. Its totient is φ = 1330053120.

The previous prime is 5894128759. The next prime is 5894128813. The reversal of 5894128800 is 88214985.

It is a happy number.

5894128800 is a `hidden beast` number, since 589 + 41 + 28 + 8 + 0 + 0 = 666.

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, 4182496 + ... + 4183904.

It is an arithmetic number, because the mean of its divisors is an integer number (55686540).

Almost surely, 2^5894128800 is an apocalyptic number.

5894128800 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 5894128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12028292640).

5894128800 is an abundant number, since it is smaller than the sum of its proper divisors (18162456480).

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

5894128800 is a wasteful number, since it uses less digits than its factorization.

5894128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 5894128800 is about 76773.2297093199. The cubic root of 5894128800 is about 1806.3692875885.

The spelling of 5894128800 in words is "five billion, eight hundred ninety-four million, one hundred twenty-eight thousand, eight hundred".