58019971680 has 768 divisors, whose sum is σ = 235146240000. Its totient is φ = 13213808640.

The previous prime is 58019971679. The next prime is 58019971739. The reversal of 58019971680 is 8617991085.

It is a super-2 number, since 2×58019971680² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161615341 + ... + 161615699.

It is an arithmetic number, because the mean of its divisors is an integer number (306180000).

Almost surely, 2^58019971680 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 58019971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117573120000).

58019971680 is an abundant number, since it is smaller than the sum of its proper divisors (177126268320).

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

58019971680 is a wasteful number, since it uses less digits than its factorization.

58019971680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 58019971680 in words is "fifty-eight billion, nineteen million, nine hundred seventy-one thousand, six hundred eighty".