578027520000 has 990 divisors, whose sum is σ = 2427331226463. Its totient is φ = 132120576000.

The previous prime is 578027519989. The next prime is 578027520001. The reversal of 578027520000 is 25720875.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

578027520000 is a `hidden beast` number, since 57 + 80 + 2 + 7 + 520 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 133639962624 + 444387557376 = 365568^2 + 666624^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=537600.

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

It is not an unprimeable number, because it can be changed into a prime (578027520001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82575359997 + ... + 82575360003.

Almost surely, 2^578027520000 is an apocalyptic number.

578027520000 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 578027520000

578027520000 is an abundant number, since it is smaller than the sum of its proper divisors (1849303706463).

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

578027520000 is an frugal number, since it uses more digits than its factorization.

578027520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

578027520000 divided by its product of nonzero digits (39200) gives a square (14745600 = 3840²).

The spelling of 578027520000 in words is "five hundred seventy-eight billion, twenty-seven million, five hundred twenty thousand".