36135065986880 has 224 divisors, whose sum is σ = 98958440835072. Its totient is φ = 12311171942400.

The previous prime is 36135065986853. The next prime is 36135065986907. The reversal of 36135065986880 is 8868956053163.

It is an interprime number because it is at equal distance from previous prime (36135065986853) and next prime (36135065986907).

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 36135065986880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1380716195 + ... + 1380742365.

It is an arithmetic number, because the mean of its divisors is an integer number (441778753728).

Almost surely, 2^{36135065986880} 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 36135065986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49479220417536).

36135065986880 is an abundant number, since it is smaller than the sum of its proper divisors (62823374848192).

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

36135065986880 is a wasteful number, since it uses less digits than its factorization.

36135065986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30053 (or 30043 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 68.

The spelling of 36135065986880 in words is "thirty-six trillion, one hundred thirty-five billion, sixty-five million, nine hundred eighty-six thousand, eight hundred eighty".