79580410000 has 675 divisors, whose sum is σ = 250777126413. Its totient is φ = 24373440000.

The previous prime is 79580409977. The next prime is 79580410003. The reversal of 79580410000 is 1408597.

It is a happy number.

The square root of 79580410000 is 282100.

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

It can be written as a sum of positive squares in 7 ways, for example, as 78603972496 + 976437504 = 280364^2 + 31248^2 .

It is not an unprimeable number, because it can be changed into a prime (79580410003) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2567109985 + ... + 2567110015.

Almost surely, 2^79580410000 is an apocalyptic number.

79580410000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

79580410000 is the 282100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79580410000

79580410000 is an abundant number, since it is smaller than the sum of its proper divisors (171196716413).

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

79580410000 is a wasteful number, since it uses less digits than its factorization.

79580410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

Adding to 79580410000 its reverse (1408597), we get a palindrome (79581818597).

The spelling of 79580410000 in words is "seventy-nine billion, five hundred eighty million, four hundred ten thousand".