598950618560 has 224 divisors, whose sum is σ = 1638270251520. Its totient is φ = 204315955200.

The previous prime is 598950618379. The next prime is 598950618571. The reversal of 598950618560 is 65816059895.

It is a Cunningham number, because it is equal to 773919²-1.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 598950618493 and 598950618502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586630850 + ... + 586631870.

It is an arithmetic number, because the mean of its divisors is an integer number (7313706480).

Almost surely, 2^598950618560 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 598950618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819135125760).

598950618560 is an abundant number, since it is smaller than the sum of its proper divisors (1039319632960).

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

598950618560 is a wasteful number, since it uses less digits than its factorization.

598950618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 62.

The spelling of 598950618560 in words is "five hundred ninety-eight billion, nine hundred fifty million, six hundred eighteen thousand, five hundred sixty".