79975900161808 has 240 divisors, whose sum is σ = 195120493386480. Its totient is φ = 31591510659072.

The previous prime is 79975900161793. The next prime is 79975900161869. The reversal of 79975900161808 is 80816100957997.

It can be written as a sum of positive squares in 8 ways, for example, as 7815088620304 + 72160811541504 = 2795548^2 + 8494752^2 .

It is a super-2 number, since 2×79975900161808² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43688410 + ... + 45482182.

It is an arithmetic number, because the mean of its divisors is an integer number (813002055777).

Almost surely, 2^{79975900161808} 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 79975900161808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97560246693240).

79975900161808 is an abundant number, since it is smaller than the sum of its proper divisors (115144593224672).

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

79975900161808 is a wasteful number, since it uses less digits than its factorization.

79975900161808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793914 (or 1793901 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 70.

The spelling of 79975900161808 in words is "seventy-nine trillion, nine hundred seventy-five billion, nine hundred million, one hundred sixty-one thousand, eight hundred eight".