58084197081120 has 1536 divisors, whose sum is σ = 248103320371200. Its totient is φ = 12389190008832.

The previous prime is 58084197081077. The next prime is 58084197081181. The reversal of 58084197081120 is 2118079148085.

58084197081120 is a `hidden beast` number, since 5 + 80 + 8 + 419 + 70 + 81 + 1 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 53141991294 + ... + 53141992386.

It is an arithmetic number, because the mean of its divisors is an integer number (161525599200).

Almost surely, 2^{58084197081120} 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 58084197081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124051660185600).

58084197081120 is an abundant number, since it is smaller than the sum of its proper divisors (190019123290080).

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

58084197081120 is a wasteful number, since it uses less digits than its factorization.

58084197081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 58084197081120 in words is "fifty-eight trillion, eighty-four billion, one hundred ninety-seven million, eighty-one thousand, one hundred twenty".