58661988480 has 256 divisors, whose sum is σ = 210331180800. Its totient is φ = 15642823680.

The previous prime is 58661988449. The next prime is 58661988491. The reversal of 58661988480 is 8488916685.

58661988480 is a `hidden beast` number, since 5 + 8 + 6 + 61 + 98 + 8 + 480 = 666.

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, 1378725 + ... + 1420635.

It is an arithmetic number, because the mean of its divisors is an integer number (821606175).

Almost surely, 2^58661988480 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 58661988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105165590400).

58661988480 is an abundant number, since it is smaller than the sum of its proper divisors (151669192320).

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

58661988480 is an frugal number, since it uses more digits than its factorization.

58661988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41951 (or 41921 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 58661988480 in words is "fifty-eight billion, six hundred sixty-one million, nine hundred eighty-eight thousand, four hundred eighty".