58223767680 has 1024 divisors, whose sum is σ = 236888064000. Its totient is φ = 13405962240.

The previous prime is 58223767663. The next prime is 58223767709. The reversal of 58223767680 is 8676732285.

It is a super-2 number, since 2×58223767680² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 304836385 + ... + 304836575.

It is an arithmetic number, because the mean of its divisors is an integer number (231336000).

Almost surely, 2^58223767680 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 58223767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118444032000).

58223767680 is an abundant number, since it is smaller than the sum of its proper divisors (178664296320).

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

58223767680 is a wasteful number, since it uses less digits than its factorization.

58223767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 58223767680 in words is "fifty-eight billion, two hundred twenty-three million, seven hundred sixty-seven thousand, six hundred eighty".