590728128480 has 1152 divisors, whose sum is σ = 2560732102656. Its totient is φ = 120899174400.

The previous prime is 590728128469. The next prime is 590728128481. The reversal of 590728128480 is 84821827095.

590728128480 is a `hidden beast` number, since 5 + 9 + 0 + 7 + 281 + 284 + 80 = 666.

It is a super-2 number, since 2×590728128480² (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 (590728128481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 324040849 + ... + 324042671.

It is an arithmetic number, because the mean of its divisors is an integer number (2222857728).

Almost surely, 2^590728128480 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 590728128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280366051328).

590728128480 is an abundant number, since it is smaller than the sum of its proper divisors (1970003974176).

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

590728128480 is a wasteful number, since it uses less digits than its factorization.

590728128480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 590728128480 in words is "five hundred ninety billion, seven hundred twenty-eight million, one hundred twenty-eight thousand, four hundred eighty".