79115452416000 has 4032 divisors, whose sum is σ = 388692207461376. Its totient is φ = 14948499456000.

The previous prime is 79115452415969. The next prime is 79115452416001. The reversal of 79115452416000 is 61425451197.

79115452416000 is a `hidden beast` number, since 7 + 9 + 1 + 1 + 545 + 2 + 41 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79115452416001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1180827647967 + ... + 1180827648033.

It is an arithmetic number, because the mean of its divisors is an integer number (96401837168).

Almost surely, 2^{79115452416000} is an apocalyptic number.

79115452416000 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 79115452416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194346103730688).

79115452416000 is an abundant number, since it is smaller than the sum of its proper divisors (309576755045376).

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

79115452416000 is an equidigital number, since it uses as much as digits as its factorization.

79115452416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

Adding to 79115452416000 its reverse (61425451197), we get a palindrome (79176877867197).

The spelling of 79115452416000 in words is "seventy-nine trillion, one hundred fifteen billion, four hundred fifty-two million, four hundred sixteen thousand".