58061646720 has 768 divisors, whose sum is σ = 258383462400. Its totient is φ = 12061716480.

The previous prime is 58061646719. The next prime is 58061646737. The reversal of 58061646720 is 2764616085.

58061646720 is a `hidden beast` number, since 5 + 8 + 0 + 616 + 4 + 6 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 14634177 + ... + 14638143.

It is an arithmetic number, because the mean of its divisors is an integer number (336436800).

Almost surely, 2^58061646720 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 58061646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129191731200).

58061646720 is an abundant number, since it is smaller than the sum of its proper divisors (200321815680).

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

58061646720 is a wasteful number, since it uses less digits than its factorization.

58061646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 58061646720 in words is "fifty-eight billion, sixty-one million, six hundred forty-six thousand, seven hundred twenty".