79779335168000 has 1344 divisors, whose sum is σ = 225215294413824. Its totient is φ = 28178841600000.

The previous prime is 79779335167943. The next prime is 79779335168009. The reversal of 79779335168000 is 86153397797.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79779335168009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 528339967925 + ... + 528339968075.

Almost surely, 2^{79779335168000} 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 79779335168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112607647206912).

79779335168000 is an abundant number, since it is smaller than the sum of its proper divisors (145435959245824).

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

79779335168000 is a wasteful number, since it uses less digits than its factorization.

79779335168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 65.

The spelling of 79779335168000 in words is "seventy-nine trillion, seven hundred seventy-nine billion, three hundred thirty-five million, one hundred sixty-eight thousand".