36559379245280 has 192 divisors, whose sum is σ = 87461371565568. Its totient is φ = 14440463431680.

The previous prime is 36559379245223. The next prime is 36559379245289. The reversal of 36559379245280 is 8254297395563.

It is a super-3 number, since 3×36559379245280³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36559379245280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36559379245289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5584138967 + ... + 5584145513.

It is an arithmetic number, because the mean of its divisors is an integer number (455527976904).

Almost surely, 2^{36559379245280} 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 36559379245280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43730685782784).

36559379245280 is an abundant number, since it is smaller than the sum of its proper divisors (50901992320288).

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

36559379245280 is a wasteful number, since it uses less digits than its factorization.

36559379245280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 68.

The spelling of 36559379245280 in words is "thirty-six trillion, five hundred fifty-nine billion, three hundred seventy-nine million, two hundred forty-five thousand, two hundred eighty".