79505414210880 has 672 divisors, whose sum is σ = 317743505614080. Its totient is φ = 17869800407040.

The previous prime is 79505414210879. The next prime is 79505414210909. The reversal of 79505414210880 is 8801241450597.

79505414210880 is a `hidden beast` number, since 7 + 9 + 5 + 0 + 5 + 414 + 210 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×79505414210880² (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 95 ways as a sum of consecutive naturals, for example, 6159861387 + ... + 6159874293.

It is an arithmetic number, because the mean of its divisors is an integer number (472832597640).

Almost surely, 2^{79505414210880} is an apocalyptic number.

79505414210880 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 79505414210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158871752807040).

79505414210880 is an abundant number, since it is smaller than the sum of its proper divisors (238238091403200).

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

79505414210880 is a wasteful number, since it uses less digits than its factorization.

79505414210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18007 (or 17994 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 79505414210880 in words is "seventy-nine trillion, five hundred five billion, four hundred fourteen million, two hundred ten thousand, eight hundred eighty".