58948405920 has 288 divisors, whose sum is σ = 217475556480. Its totient is φ = 14489487360.

The previous prime is 58948405909. The next prime is 58948405949. The reversal of 58948405920 is 2950484985.

It is a happy number.

58948405920 is a `hidden beast` number, since 5 + 8 + 9 + 4 + 8 + 40 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 983205 + ... + 1041435.

It is an arithmetic number, because the mean of its divisors is an integer number (755123460).

Almost surely, 2^58948405920 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 58948405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108737778240).

58948405920 is an abundant number, since it is smaller than the sum of its proper divisors (158527150560).

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

58948405920 is a wasteful number, since it uses less digits than its factorization.

58948405920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58308 (or 58297 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 58948405920 in words is "fifty-eight billion, nine hundred forty-eight million, four hundred five thousand, nine hundred twenty".