79086354048 has 768 divisors, whose sum is σ = 268073625600. Its totient is φ = 22915436544.

The previous prime is 79086353993. The next prime is 79086354079. The reversal of 79086354048 is 84045368097.

79086354048 is a `hidden beast` number, since 7 + 90 + 8 + 6 + 3 + 540 + 4 + 8 = 666.

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 = 79086353985 and 79086354003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1180393311 + ... + 1180393377.

It is an arithmetic number, because the mean of its divisors is an integer number (349054200).

Almost surely, 2^79086354048 is an apocalyptic number.

79086354048 is a gapful number since it is divisible by the number (78) 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 79086354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134036812800).

79086354048 is an abundant number, since it is smaller than the sum of its proper divisors (188987271552).

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

79086354048 is a wasteful number, since it uses less digits than its factorization.

79086354048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 79086354048 in words is "seventy-nine billion, eighty-six million, three hundred fifty-four thousand, forty-eight".