590228087072 has 162 divisors, whose sum is σ = 1304041166379. Its totient is φ = 262843176960.

The previous prime is 590228087023. The next prime is 590228087077. The reversal of 590228087072 is 270780822095.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 14141015056 + 576087072016 = 118916^2 + 759004^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=543244.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 590228087072.

It is not an unprimeable number, because it can be changed into a prime (590228087077) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1751418488 + ... + 1751418824.

Almost surely, 2^590228087072 is an apocalyptic number.

590228087072 is a gapful number since it is divisible by the number (52) 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 590228087072

590228087072 is an abundant number, since it is smaller than the sum of its proper divisors (713813079307).

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

590228087072 is an equidigital number, since it uses as much as digits as its factorization.

590228087072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 50.

Multiplying 590228087072 by its sum of digits (50), we get a square (29511404353600 = 5432440²).

The spelling of 590228087072 in words is "five hundred ninety billion, two hundred twenty-eight million, eighty-seven thousand, seventy-two".