58084634240 has 256 divisors, whose sum is σ = 148319424000. Its totient is φ = 21705277440.

The previous prime is 58084634191. The next prime is 58084634269. The reversal of 58084634240 is 4243648085.

It is a junction number, because it is equal to n+sod(n) for n = 58084634191 and 58084634200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155722694 + ... + 155723066.

It is an arithmetic number, because the mean of its divisors is an integer number (579372750).

Almost surely, 2^58084634240 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 58084634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74159712000).

58084634240 is an abundant number, since it is smaller than the sum of its proper divisors (90234789760).

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

58084634240 is a wasteful number, since it uses less digits than its factorization.

58084634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 44.

The spelling of 58084634240 in words is "fifty-eight billion, eighty-four million, six hundred thirty-four thousand, two hundred forty".