58388975064 has 672 divisors, whose sum is σ = 205357212000. Its totient is φ = 15545779200.

The previous prime is 58388975053. The next prime is 58388975119. The reversal of 58388975064 is 46057988385.

58388975064 is a `hidden beast` number, since 5 + 8 + 38 + 8 + 97 + 506 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 58388974992 and 58388975010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 578108614 + ... + 578108714.

Almost surely, 2^58388975064 is an apocalyptic number.

58388975064 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 58388975064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102678606000).

58388975064 is an abundant number, since it is smaller than the sum of its proper divisors (146968236936).

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

58388975064 is a wasteful number, since it uses less digits than its factorization.

58388975064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 58388975064 in words is "fifty-eight billion, three hundred eighty-eight million, nine hundred seventy-five thousand, sixty-four".