79952466121056 has 240 divisors, whose sum is σ = 242518587917760. Its totient is φ = 25825524019200.

The previous prime is 79952466120971. The next prime is 79952466121057. The reversal of 79952466121056 is 65012166425997.

79952466121056 is a `hidden beast` number, since 7 + 9 + 9 + 5 + 2 + 4 + 6 + 612 + 1 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 79952466120984 and 79952466121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79952466121057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9055240 + ... + 15553208.

It is an arithmetic number, because the mean of its divisors is an integer number (1010494116324).

Almost surely, 2^{79952466121056} 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 79952466121056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121259293958880).

79952466121056 is an abundant number, since it is smaller than the sum of its proper divisors (162566121796704).

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

79952466121056 is a wasteful number, since it uses less digits than its factorization.

79952466121056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498139 (or 6498122 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 79952466121056 in words is "seventy-nine trillion, nine hundred fifty-two billion, four hundred sixty-six million, one hundred twenty-one thousand, fifty-six".