578545089408 has 640 divisors, whose sum is σ = 2056225580640. Its totient is φ = 159152947200.

The previous prime is 578545089403. The next prime is 578545089443. The reversal of 578545089408 is 804980545875.

578545089408 is a `hidden beast` number, since 5 + 7 + 8 + 545 + 0 + 89 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×578545089408² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578545089403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 90436866 + ... + 90443262.

Almost surely, 2^578545089408 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 578545089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028112790320).

578545089408 is an abundant number, since it is smaller than the sum of its proper divisors (1477680491232).

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

578545089408 is a wasteful number, since it uses less digits than its factorization.

578545089408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 578545089408 in words is "five hundred seventy-eight billion, five hundred forty-five million, eighty-nine thousand, four hundred eight".