79935126048 has 144 divisors (see below), whose sum is σ = 237823369056. Its totient is φ = 26408954880.

The previous prime is 79935126031. The next prime is 79935126067. The reversal of 79935126048 is 84062153997.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 79935125985 and 79935126003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 833203 + ... + 924173.

It is an arithmetic number, because the mean of its divisors is an integer number (1651551174).

It is a 1-persistent number, because it is pandigital, but 2⋅79935126048 = 159870252096 is not.

Almost surely, 2^79935126048 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 79935126048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118911684528).

79935126048 is an abundant number, since it is smaller than the sum of its proper divisors (157888243008).

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

79935126048 is a wasteful number, since it uses less digits than its factorization.

79935126048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91109 (or 91089 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 79935126048 in words is "seventy-nine billion, nine hundred thirty-five million, one hundred twenty-six thousand, forty-eight".