58046661120 has 320 divisors, whose sum is σ = 214080869376. Its totient is φ = 13142507520.

The previous prime is 58046661107. The next prime is 58046661221. The reversal of 58046661120 is 2116664085.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5747275 + ... + 5757365.

Almost surely, 2^58046661120 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 58046661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107040434688).

58046661120 is an abundant number, since it is smaller than the sum of its proper divisors (156034208256).

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

58046661120 is a wasteful number, since it uses less digits than its factorization.

58046661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10231 (or 10215 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 58046661120 in words is "fifty-eight billion, forty-six million, six hundred sixty-one thousand, one hundred twenty".