58665684100 has 81 divisors (see below), whose sum is σ = 130036369197. Its totient is φ = 22973134080.

The previous prime is 58665684097. The next prime is 58665684109. The reversal of 58665684100 is 148656685.

The square root of 58665684100 is 242210.

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

58665684100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 4782275716 + 53883408384 = 69154^2 + 232128^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58665684109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 128371072 + ... + 128371528.

Almost surely, 2^58665684100 is an apocalyptic number.

58665684100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58665684100 is the 242210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58665684100

58665684100 is an abundant number, since it is smaller than the sum of its proper divisors (71370685097).

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

58665684100 is an equidigital number, since it uses as much as digits as its factorization.

58665684100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 58665684100 by its sum of digits (49), we get a square (2874618520900 = 1695470²).

The spelling of 58665684100 in words is "fifty-eight billion, six hundred sixty-five million, six hundred eighty-four thousand, one hundred".