58975457484304 has 135 divisors (see below), whose sum is σ = 119268777427527. Its totient is φ = 28249432345344.

The previous prime is 58975457484211. The next prime is 58975457484319. The reversal of 58975457484304 is 40348475457985.

The square root of 58975457484304 is 7679548.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6297590250000 + 52677867234304 = 2509500^2 + 7257952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 212907788614 + ... + 212907788890.

Almost surely, 2^{58975457484304} is an apocalyptic number.

58975457484304 is the 7679548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58975457484304

58975457484304 is an abundant number, since it is smaller than the sum of its proper divisors (60293319943223).

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

58975457484304 is an frugal number, since it uses more digits than its factorization.

58975457484304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 2709504000, while the sum is 73.

The spelling of 58975457484304 in words is "fifty-eight trillion, nine hundred seventy-five billion, four hundred fifty-seven million, four hundred eighty-four thousand, three hundred four".