79399654109568 has 384 divisors, whose sum is σ = 255225024337920. Its totient is φ = 24425338669056.

The previous prime is 79399654109561. The next prime is 79399654109591. The reversal of 79399654109568 is 86590145699397.

79399654109568 is a `hidden beast` number, since 7 + 9 + 3 + 9 + 9 + 6 + 5 + 41 + 0 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79399654109561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2113529121 + ... + 2113566687.

It is an arithmetic number, because the mean of its divisors is an integer number (664648500880).

Almost surely, 2^{79399654109568} is an apocalyptic number.

79399654109568 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 79399654109568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127612512168960).

79399654109568 is an abundant number, since it is smaller than the sum of its proper divisors (175825370228352).

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

79399654109568 is a wasteful number, since it uses less digits than its factorization.

79399654109568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42836 (or 42812 counting only the distinct ones).

The product of its (nonzero) digits is 3968092800, while the sum is 81.

The spelling of 79399654109568 in words is "seventy-nine trillion, three hundred ninety-nine billion, six hundred fifty-four million, one hundred nine thousand, five hundred sixty-eight".