58381692768 has 288 divisors, whose sum is σ = 202472524800. Its totient is φ = 15585343488.

The previous prime is 58381692767. The next prime is 58381692797. The reversal of 58381692768 is 86729618385.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58381692767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2785753 + ... + 2806631.

It is an arithmetic number, because the mean of its divisors is an integer number (703029600).

Almost surely, 2^58381692768 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 58381692768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101236262400).

58381692768 is an abundant number, since it is smaller than the sum of its proper divisors (144090832032).

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

58381692768 is a wasteful number, since it uses less digits than its factorization.

58381692768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20994 (or 20983 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 58381692768 in words is "fifty-eight billion, three hundred eighty-one million, six hundred ninety-two thousand, seven hundred sixty-eight".