578400652800 has 360 divisors, whose sum is σ = 2146612123656. Its totient is φ = 154239344640.

The previous prime is 578400652793. The next prime is 578400652811. The reversal of 578400652800 is 8256004875.

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

It is a super-2 number, since 2×578400652800² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3017422 + ... + 3203378.

Almost surely, 2^578400652800 is an apocalyptic number.

578400652800 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 578400652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073306061828).

578400652800 is an abundant number, since it is smaller than the sum of its proper divisors (1568211470856).

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

578400652800 is an equidigital number, since it uses as much as digits as its factorization.

578400652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186000 (or 185967 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 578400652800 in words is "five hundred seventy-eight billion, four hundred million, six hundred fifty-two thousand, eight hundred".