58041916632 has 288 divisors, whose sum is σ = 188556076800. Its totient is φ = 16385493888.

The previous prime is 58041916609. The next prime is 58041916649. The reversal of 58041916632 is 23661914085.

58041916632 is a `hidden beast` number, since 5 + 8 + 0 + 4 + 1 + 9 + 1 + 6 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161676469 + ... + 161676827.

It is an arithmetic number, because the mean of its divisors is an integer number (654708600).

Almost surely, 2^58041916632 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 58041916632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94278038400).

58041916632 is an abundant number, since it is smaller than the sum of its proper divisors (130514160168).

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

58041916632 is a wasteful number, since it uses less digits than its factorization.

58041916632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 58041916632 in words is "fifty-eight billion, forty-one million, nine hundred sixteen thousand, six hundred thirty-two".