79851072000 has 1280 divisors, whose sum is σ = 330921676800. Its totient is φ = 16677273600.

The previous prime is 79851071953. The next prime is 79851072083. The reversal of 79851072000 is 27015897.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 79851072000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1353407971 + ... + 1353408029.

It is an arithmetic number, because the mean of its divisors is an integer number (258532560).

Almost surely, 2^79851072000 is an apocalyptic number.

79851072000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79851072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165460838400).

79851072000 is an abundant number, since it is smaller than the sum of its proper divisors (251070604800).

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

79851072000 is a wasteful number, since it uses less digits than its factorization.

79851072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

Adding to 79851072000 its reverse (27015897), we get a palindrome (79878087897).

The spelling of 79851072000 in words is "seventy-nine billion, eight hundred fifty-one million, seventy-two thousand".