36081713242872 has 640 divisors, whose sum is σ = 112209437894400. Its totient is φ = 10741816166400.

The previous prime is 36081713242849. The next prime is 36081713242891. The reversal of 36081713242872 is 27824231718063.

It is a happy number.

36081713242872 is a `hidden beast` number, since 3 + 6 + 0 + 8 + 17 + 132 + 428 + 72 = 666.

36081713242872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 66694478922 + ... + 66694479462.

It is an arithmetic number, because the mean of its divisors is an integer number (175327246710).

Almost surely, 2^{36081713242872} 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 36081713242872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56104718947200).

36081713242872 is an abundant number, since it is smaller than the sum of its proper divisors (76127724651528).

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

36081713242872 is a wasteful number, since it uses less digits than its factorization.

36081713242872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 36081713242872 in words is "thirty-six trillion, eighty-one billion, seven hundred thirteen million, two hundred forty-two thousand, eight hundred seventy-two".