79808169369600 has 2520 divisors, whose sum is σ = 351400904125920. Its totient is φ = 17845195898880.

The previous prime is 79808169369581. The next prime is 79808169369613. The reversal of 79808169369600 is 696396180897.

79808169369600 is a `hidden beast` number, since 7 + 9 + 8 + 0 + 8 + 1 + 6 + 9 + 3 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×79808169369600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 38204005356 + ... + 38204007444.

Almost surely, 2^{79808169369600} is an apocalyptic number.

79808169369600 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 79808169369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175700452062960).

79808169369600 is an abundant number, since it is smaller than the sum of its proper divisors (271592734756320).

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

79808169369600 is a wasteful number, since it uses less digits than its factorization.

79808169369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 79808169369600 in words is "seventy-nine trillion, eight hundred eight billion, one hundred sixty-nine million, three hundred sixty-nine thousand, six hundred".