58141933920 has 1152 divisors, whose sum is σ = 254663377920. Its totient is φ = 12308889600.

The previous prime is 58141933919. The next prime is 58141933987. The reversal of 58141933920 is 2933914185.

It is a happy number.

58141933920 is a `hidden beast` number, since 581 + 4 + 19 + 3 + 39 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 385045845 + ... + 385045995.

It is an arithmetic number, because the mean of its divisors is an integer number (221061960).

Almost surely, 2^58141933920 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 58141933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127331688960).

58141933920 is an abundant number, since it is smaller than the sum of its proper divisors (196521444000).

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

58141933920 is a wasteful number, since it uses less digits than its factorization.

58141933920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 58141933920 in words is "fifty-eight billion, one hundred forty-one million, nine hundred thirty-three thousand, nine hundred twenty".