58020820996320 has 2304 divisors, whose sum is σ = 264310801090560. Its totient is φ = 11773336780800.

The previous prime is 58020820996291. The next prime is 58020820996331. The reversal of 58020820996320 is 2369902802085.

58020820996320 is a `hidden beast` number, since 5 + 8 + 0 + 20 + 8 + 209 + 96 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8010602619 + ... + 8010609861.

It is an arithmetic number, because the mean of its divisors is an integer number (114718229640).

Almost surely, 2^{58020820996320} 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 58020820996320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132155400545280).

58020820996320 is an abundant number, since it is smaller than the sum of its proper divisors (206289980094240).

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

58020820996320 is a wasteful number, since it uses less digits than its factorization.

58020820996320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 58020820996320 in words is "fifty-eight trillion, twenty billion, eight hundred twenty million, nine hundred ninety-six thousand, three hundred twenty".