58782418240 has 336 divisors, whose sum is σ = 178847861760. Its totient is φ = 17999953920.

The previous prime is 58782418237. The next prime is 58782418267. The reversal of 58782418240 is 4281428785.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11732856 + ... + 11737864.

Almost surely, 2^58782418240 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 58782418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89423930880).

58782418240 is an abundant number, since it is smaller than the sum of its proper divisors (120065443520).

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

58782418240 is a wasteful number, since it uses less digits than its factorization.

58782418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 49.

The spelling of 58782418240 in words is "fifty-eight billion, seven hundred eighty-two million, four hundred eighteen thousand, two hundred forty".