79889040000 has 1440 divisors, whose sum is σ = 363621978720. Its totient is φ = 16473600000.

The previous prime is 79889039987. The next prime is 79889040001. The reversal of 79889040000 is 4098897.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (79889040001) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 609839935 + ... + 609840065.

It is an arithmetic number, because the mean of its divisors is an integer number (252515263).

Almost surely, 2^79889040000 is an apocalyptic number.

79889040000 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 79889040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181810989360).

79889040000 is an abundant number, since it is smaller than the sum of its proper divisors (283732938720).

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

79889040000 is a wasteful number, since it uses less digits than its factorization.

79889040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 79889040000 in words is "seventy-nine billion, eight hundred eighty-nine million, forty thousand".