58869316900 has 81 divisors (see below), whose sum is σ = 134929442739. Its totient is φ = 22290903360.

The previous prime is 58869316889. The next prime is 58869316943. The reversal of 58869316900 is 961396885.

It is a happy number.

The square root of 58869316900 is 242630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18438436 + 58850878464 = 4294^2 + 242592^2 .

It is a super-2 number, since 2×58869316900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 46099062 + ... + 46100338.

Almost surely, 2^58869316900 is an apocalyptic number.

58869316900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58869316900 is the 242630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58869316900

58869316900 is an abundant number, since it is smaller than the sum of its proper divisors (76060125839).

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

58869316900 is a wasteful number, since it uses less digits than its factorization.

58869316900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

It can be divided in two parts, 58869 and 316900, that added together give a square (375769 = 613²).

The spelling of 58869316900 in words is "fifty-eight billion, eight hundred sixty-nine million, three hundred sixteen thousand, nine hundred".