58249579080 has 1152 divisors, whose sum is σ = 244532736000. Its totient is φ = 11017036800.

The previous prime is 58249579079. The next prime is 58249579121. The reversal of 58249579080 is 8097594285.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 58249579080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 419061651 + ... + 419061789.

It is an arithmetic number, because the mean of its divisors is an integer number (212268000).

Almost surely, 2^58249579080 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 58249579080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122266368000).

58249579080 is an abundant number, since it is smaller than the sum of its proper divisors (186283156920).

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

58249579080 is a wasteful number, since it uses less digits than its factorization.

58249579080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 58249579080 in words is "fifty-eight billion, two hundred forty-nine million, five hundred seventy-nine thousand, eighty".