36242522027712 has 2352 divisors, whose sum is σ = 149939866540800. Its totient is φ = 8537689681920.

The previous prime is 36242522027689. The next prime is 36242522027717. The reversal of 36242522027712 is 21772022524263.

36242522027712 is a `hidden beast` number, since 3 + 6 + 2 + 42 + 522 + 0 + 2 + 77 + 12 = 666.

36242522027712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2352).

It is not an unprimeable number, because it can be changed into a prime (36242522027717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 19288195989 + ... + 19288197867.

Almost surely, 2^{36242522027712} is an apocalyptic number.

36242522027712 is a gapful number since it is divisible by the number (32) 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 36242522027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74969933270400).

36242522027712 is an abundant number, since it is smaller than the sum of its proper divisors (113697344513088).

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

36242522027712 is a wasteful number, since it uses less digits than its factorization.

36242522027712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 36242522027712 in words is "thirty-six trillion, two hundred forty-two billion, five hundred twenty-two million, twenty-seven thousand, seven hundred twelve".