605728523520 has 180 divisors, whose sum is σ = 2167407797940. Its totient is φ = 161527578624.

The previous prime is 605728523513. The next prime is 605728523539. The reversal of 605728523520 is 25325827506.

605728523520 is a `hidden beast` number, since 6 + 0 + 5 + 72 + 8 + 52 + 3 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 480548422656 + 125180100864 = 693216^2 + 353808^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2817465 + ... + 3024824.

It is an arithmetic number, because the mean of its divisors is an integer number (12041154433).

Almost surely, 2^605728523520 is an apocalyptic number.

605728523520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

605728523520 is an abundant number, since it is smaller than the sum of its proper divisors (1561679274420).

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

605728523520 is an equidigital number, since it uses as much as digits as its factorization.

605728523520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842322 (or 5842299 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 605728523520 in words is "six hundred five billion, seven hundred twenty-eight million, five hundred twenty-three thousand, five hundred twenty".