59283498240 has 360 divisors, whose sum is σ = 219453058440. Its totient is φ = 15263023104.

The previous prime is 59283498227. The next prime is 59283498257. The reversal of 59283498240 is 4289438295.

59283498240 is a `hidden beast` number, since 59 + 2 + 8 + 349 + 8 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 269485056 + 59014013184 = 16416^2 + 242928^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2996862 + ... + 3016578.

It is an arithmetic number, because the mean of its divisors is an integer number (609591829).

Almost surely, 2^59283498240 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 59283498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109726529220).

59283498240 is an abundant number, since it is smaller than the sum of its proper divisors (160169560200).

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

59283498240 is a wasteful number, since it uses less digits than its factorization.

59283498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19779 (or 19756 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 59283498240 in words is "fifty-nine billion, two hundred eighty-three million, four hundred ninety-eight thousand, two hundred forty".