36162816000 has 192 divisors, whose sum is σ = 120323024640. Its totient is φ = 9643212800.

The previous prime is 36162815977. The next prime is 36162816029. The reversal of 36162816000 is 61826163.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×36162816000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 744457 + ... + 791543.

It is an arithmetic number, because the mean of its divisors is an integer number (626682420).

Almost surely, 2^36162816000 is an apocalyptic number.

36162816000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36162816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60161512320).

36162816000 is an abundant number, since it is smaller than the sum of its proper divisors (84160208640).

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

36162816000 is an equidigital number, since it uses as much as digits as its factorization.

36162816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47127 (or 47097 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 36162816000 in words is "thirty-six billion, one hundred sixty-two million, eight hundred sixteen thousand".