36212165888320 has 28 divisors (see below), whose sum is σ = 86230220022324. Its totient is φ = 14484866355200.

The previous prime is 36212165888263. The next prime is 36212165888347. The reversal of 36212165888320 is 2388856121263.

It can be written as a sum of positive squares in 2 ways, for example, as 19032069355776 + 17180096532544 = 4362576^2 + 4144888^2 .

It is a super-2 number, since 2×36212165888320² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 56581508881 + ... + 56581509520.

It is an arithmetic number, because the mean of its divisors is an integer number (3079650715083).

Almost surely, 2^{36212165888320} is an apocalyptic number.

It is an amenable number.

36212165888320 is an abundant number, since it is smaller than the sum of its proper divisors (50018054134004).

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

36212165888320 is a wasteful number, since it uses less digits than its factorization.

36212165888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113163018418 (or 113163018408 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 36212165888320 in words is "thirty-six trillion, two hundred twelve billion, one hundred sixty-five million, eight hundred eighty-eight thousand, three hundred twenty".