578048400000 has 1152 divisors, whose sum is σ = 2276844897600. Its totient is φ = 145566720000.

The previous prime is 578048399941. The next prime is 578048400043. The reversal of 578048400000 is 4840875.

578048400000 is a `hidden beast` number, since 578 + 0 + 4 + 84 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 1846799844 + ... + 1846800156.

Almost surely, 2^578048400000 is an apocalyptic number.

578048400000 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 578048400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138422448800).

578048400000 is an abundant number, since it is smaller than the sum of its proper divisors (1698796497600).

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

578048400000 is an frugal number, since it uses more digits than its factorization.

578048400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 578048400000 in words is "five hundred seventy-eight billion, forty-eight million, four hundred thousand".