58610221056 has 340 divisors, whose sum is σ = 178959624844. Its totient is φ = 19110297600.

The previous prime is 58610221039. The next prime is 58610221057. The reversal of 58610221056 is 65012201685.

58610221056 is a `hidden beast` number, since 5 + 8 + 610 + 22 + 10 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1194393600 + 57415827456 = 34560^2 + 239616^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 58610221056.

It is not an unprimeable number, because it can be changed into a prime (58610221057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 323813286 + ... + 323813466.

Almost surely, 2^58610221056 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 58610221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89479812422).

58610221056 is an abundant number, since it is smaller than the sum of its proper divisors (120349403788).

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

58610221056 is an frugal number, since it uses more digits than its factorization.

58610221056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 58610221056 in words is "fifty-eight billion, six hundred ten million, two hundred twenty-one thousand, fifty-six".