59998218508224 has 672 divisors, whose sum is σ = 188824234959360. Its totient is φ = 18202926292992.

The previous prime is 59998218508219. The next prime is 59998218508381. The reversal of 59998218508224 is 42280581289995.

59998218508224 is a `hidden beast` number, since 5 + 9 + 9 + 9 + 82 + 18 + 508 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 12533571559 + ... + 12533576345.

It is an arithmetic number, because the mean of its divisors is an integer number (280988444880).

Almost surely, 2^{59998218508224} 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 59998218508224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94412117479680).

59998218508224 is an abundant number, since it is smaller than the sum of its proper divisors (128826016451136).

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

59998218508224 is a wasteful number, since it uses less digits than its factorization.

59998218508224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 59998218508224 in words is "fifty-nine trillion, nine hundred ninety-eight billion, two hundred eighteen million, five hundred eight thousand, two hundred twenty-four".