58361022720 has 1728 divisors, whose sum is σ = 284204954880. Its totient is φ = 11147673600.

The previous prime is 58361022703. The next prime is 58361022721. The reversal of 58361022720 is 2722016385.

58361022720 is a `hidden beast` number, since 58 + 361 + 0 + 227 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (58361022721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242161800 + ... + 242162040.

It is an arithmetic number, because the mean of its divisors is an integer number (164470460).

Almost surely, 2^58361022720 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 58361022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142102477440).

58361022720 is an abundant number, since it is smaller than the sum of its proper divisors (225843932160).

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

58361022720 is a wasteful number, since it uses less digits than its factorization.

58361022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 58361022720 in words is "fifty-eight billion, three hundred sixty-one million, twenty-two thousand, seven hundred twenty".