58323552768 has 960 divisors, whose sum is σ = 209536588800. Its totient is φ = 15885434880.

The previous prime is 58323552761. The next prime is 58323552773. The reversal of 58323552768 is 86725532385.

58323552768 is a `hidden beast` number, since 5 + 8 + 3 + 23 + 552 + 7 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (58323552761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1881404913 + ... + 1881404943.

It is an arithmetic number, because the mean of its divisors is an integer number (218267280).

Almost surely, 2^58323552768 is an apocalyptic number.

58323552768 is a gapful number since it is divisible by the number (58) 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 58323552768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104768294400).

58323552768 is an abundant number, since it is smaller than the sum of its proper divisors (151213036032).

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

58323552768 is a wasteful number, since it uses less digits than its factorization.

58323552768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 97 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 58323552768 in words is "fifty-eight billion, three hundred twenty-three million, five hundred fifty-two thousand, seven hundred sixty-eight".