578490451627536 has 240 divisors, whose sum is σ = 1868733853878528. Its totient is φ = 163632216960000.

The previous prime is 578490451627523. The next prime is 578490451627547. The reversal of 578490451627536 is 635726154094875.

578490451627536 is a `hidden beast` number, since 5 + 7 + 8 + 4 + 9 + 0 + 4 + 516 + 2 + 75 + 36 = 666.

It is a super-2 number, since 2×578490451627536² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 1192641861 + ... + 1193126811.

It is a 1-persistent number, because it is pandigital, but 2⋅578490451627536 = 1156980903255072 is not.

Almost surely, 2^{578490451627536} is an apocalyptic number.

578490451627536 is a gapful number since it is divisible by the number (56) 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 578490451627536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934366926939264).

578490451627536 is an abundant number, since it is smaller than the sum of its proper divisors (1290243402250992).

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

578490451627536 is a wasteful number, since it uses less digits than its factorization.

578490451627536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496790 (or 496781 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 578490451627536 in words is "five hundred seventy-eight trillion, four hundred ninety billion, four hundred fifty-one million, six hundred twenty-seven thousand, five hundred thirty-six".