79350078859200 has 1176 divisors, whose sum is σ = 319963663693440. Its totient is φ = 19272735129600.

The previous prime is 79350078859199. The next prime is 79350078859237. The reversal of 79350078859200 is 295887005397.

79350078859200 is a `hidden beast` number, since 7 + 9 + 3 + 500 + 78 + 8 + 59 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×79350078859200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 614628256 + ... + 614757344.

Almost surely, 2^{79350078859200} 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 79350078859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159981831846720).

79350078859200 is an abundant number, since it is smaller than the sum of its proper divisors (240613584834240).

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

79350078859200 is a wasteful number, since it uses less digits than its factorization.

79350078859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129177 (or 129147 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 79350078859200 in words is "seventy-nine trillion, three hundred fifty billion, seventy-eight million, eight hundred fifty-nine thousand, two hundred".