79448217596160 has 3456 divisors, whose sum is σ = 338831361792000. Its totient is φ = 15715544334336.

The previous prime is 79448217596159. The next prime is 79448217596161. The reversal of 79448217596160 is 6169571284497.

It is an interprime number because it is at equal distance from previous prime (79448217596159) and next prime (79448217596161).

It is not an unprimeable number, because it can be changed into a prime (79448217596161) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 443844790951 + ... + 443844791129.

It is an arithmetic number, because the mean of its divisors is an integer number (98041482000).

Almost surely, 2^{79448217596160} is an apocalyptic number.

79448217596160 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 79448217596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169415680896000).

79448217596160 is an abundant number, since it is smaller than the sum of its proper divisors (259383144195840).

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

79448217596160 is a wasteful number, since it uses less digits than its factorization.

79448217596160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 69.

The spelling of 79448217596160 in words is "seventy-nine trillion, four hundred forty-eight billion, two hundred seventeen million, five hundred ninety-six thousand, one hundred sixty".