598388394240 has 1728 divisors, whose sum is σ = 2737383667200. Its totient is φ = 121899810816.

The previous prime is 598388394239. The next prime is 598388394251. The reversal of 598388394240 is 42493883895.

598388394240 is a `hidden beast` number, since 5 + 9 + 8 + 388 + 3 + 9 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×598388394240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20634082546 + ... + 20634082574.

Almost surely, 2^598388394240 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 598388394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368691833600).

598388394240 is an abundant number, since it is smaller than the sum of its proper divisors (2138995272960).

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

598388394240 is an frugal number, since it uses more digits than its factorization.

598388394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 598388394240 in words is "five hundred ninety-eight billion, three hundred eighty-eight million, three hundred ninety-four thousand, two hundred forty".