578438945280 has 1280 divisors, whose sum is σ = 2494640332800. Its totient is φ = 124181544960.

The previous prime is 578438945267. The next prime is 578438945347. The reversal of 578438945280 is 82549834875.

578438945280 is a `hidden beast` number, since 5 + 78 + 4 + 38 + 9 + 4 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×578438945280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 656570440 + ... + 656571320.

It is an arithmetic number, because the mean of its divisors is an integer number (1948937760).

Almost surely, 2^578438945280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578438945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247320166400).

578438945280 is an abundant number, since it is smaller than the sum of its proper divisors (1916201387520).

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

578438945280 is a wasteful number, since it uses less digits than its factorization.

578438945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 578438945280 in words is "five hundred seventy-eight billion, four hundred thirty-eight million, nine hundred forty-five thousand, two hundred eighty".