598248780480 has 896 divisors, whose sum is σ = 2406291148800. Its totient is φ = 138704928768.

The previous prime is 598248780463. The next prime is 598248780533. The reversal of 598248780480 is 84087842895.

598248780480 is a `hidden beast` number, since 5 + 9 + 82 + 4 + 8 + 78 + 0 + 480 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 420413049 + ... + 420414471.

It is an arithmetic number, because the mean of its divisors is an integer number (2685592800).

Almost surely, 2^598248780480 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 598248780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203145574400).

598248780480 is an abundant number, since it is smaller than the sum of its proper divisors (1808042368320).

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

598248780480 is a wasteful number, since it uses less digits than its factorization.

598248780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 598248780480 in words is "five hundred ninety-eight billion, two hundred forty-eight million, seven hundred eighty thousand, four hundred eighty".