58732459968 has 336 divisors, whose sum is σ = 203146030080. Its totient is φ = 14815696896.

The previous prime is 58732459967. The next prime is 58732459969. The reversal of 58732459968 is 86995423785.

It is an interprime number because it is at equal distance from previous prime (58732459967) and next prime (58732459969).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×58732459968² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58732459899 and 58732459908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58732459967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2802553 + ... + 2823431.

It is an arithmetic number, because the mean of its divisors is an integer number (604601280).

Almost surely, 2^58732459968 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 58732459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101573015040).

58732459968 is an abundant number, since it is smaller than the sum of its proper divisors (144413570112).

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

58732459968 is a wasteful number, since it uses less digits than its factorization.

58732459968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20944 (or 20927 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 66.

The spelling of 58732459968 in words is "fifty-eight billion, seven hundred thirty-two million, four hundred fifty-nine thousand, nine hundred sixty-eight".