36586395852160 has 1536 divisors, whose sum is σ = 119584408320000. Its totient is φ = 10607672033280.

The previous prime is 36586395852131. The next prime is 36586395852169. The reversal of 36586395852160 is 6125859368563.

It is a super-2 number, since 2×36586395852160² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36586395852169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71878969986 + ... + 71878970494.

It is an arithmetic number, because the mean of its divisors is an integer number (77854432500).

Almost surely, 2^{36586395852160} 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 36586395852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59792204160000).

36586395852160 is an abundant number, since it is smaller than the sum of its proper divisors (82998012467840).

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

36586395852160 is a wasteful number, since it uses less digits than its factorization.

36586395852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 67.

The spelling of 36586395852160 in words is "thirty-six trillion, five hundred eighty-six billion, three hundred ninety-five million, eight hundred fifty-two thousand, one hundred sixty".