79872000000 has 504 divisors, whose sum is σ = 286715236248. Its totient is φ = 19660800000.

The previous prime is 79871999957. The next prime is 79872000029. The reversal of 79872000000 is 27897.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6143999994 + ... + 6144000006.

It is an arithmetic number, because the mean of its divisors is an integer number (568879437).

Almost surely, 2^79872000000 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 79872000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143357618124).

79872000000 is an abundant number, since it is smaller than the sum of its proper divisors (206843236248).

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

79872000000 is an frugal number, since it uses more digits than its factorization.

79872000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

Adding to 79872000000 its reverse (27897), we get a palindrome (79872027897).

The spelling of 79872000000 in words is "seventy-nine billion, eight hundred seventy-two million", and thus it is an aban number.