58975904000 has 144 divisors (see below), whose sum is σ = 158218722480. Its totient is φ = 21775564800.

The previous prime is 58975903979. The next prime is 58975904033. The reversal of 58975904000 is 40957985.

It can be written as a sum of positive squares in 8 ways, for example, as 23142928384 + 35832975616 = 152128^2 + 189296^2 .

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 15 ways as a sum of consecutive naturals, for example, 345116 + ... + 486884.

Almost surely, 2^58975904000 is an apocalyptic number.

58975904000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58975904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79109361240).

58975904000 is an abundant number, since it is smaller than the sum of its proper divisors (99242818480).

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

58975904000 is a wasteful number, since it uses less digits than its factorization.

58975904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141813 (or 141789 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 47.

The spelling of 58975904000 in words is "fifty-eight billion, nine hundred seventy-five million, nine hundred four thousand".