58227017066064 has 1200 divisors, whose sum is σ = 217489132840320. Its totient is φ = 14912242974720.

The previous prime is 58227017066027. The next prime is 58227017066081. The reversal of 58227017066064 is 46066071072285.

It is a happy number.

58227017066064 is a `hidden beast` number, since 5 + 8 + 2 + 27 + 0 + 1 + 7 + 0 + 6 + 606 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 58227017066064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17490841552 + ... + 17490844880.

Almost surely, 2^{58227017066064} is an apocalyptic number.

58227017066064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58227017066064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108744566420160).

58227017066064 is an abundant number, since it is smaller than the sum of its proper divisors (159262115774256).

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

58227017066064 is an equidigital number, since it uses as much as digits as its factorization.

58227017066064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 58227017066064 in words is "fifty-eight trillion, two hundred twenty-seven billion, seventeen million, sixty-six thousand, sixty-four".