36107782601856 has 512 divisors, whose sum is σ = 118489153536000. Its totient is φ = 9513831075840.

The previous prime is 36107782601833. The next prime is 36107782601861. The reversal of 36107782601856 is 65810628770163.

36107782601856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36107782601856.

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 63 ways as a sum of consecutive naturals, for example, 286399825 + ... + 286525871.

It is an arithmetic number, because the mean of its divisors is an integer number (231424128000).

Almost surely, 2^{36107782601856} 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 36107782601856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59244576768000).

36107782601856 is an abundant number, since it is smaller than the sum of its proper divisors (82381370934144).

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

36107782601856 is a wasteful number, since it uses less digits than its factorization.

36107782601856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126240 (or 126228 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 36107782601856 in words is "thirty-six trillion, one hundred seven billion, seven hundred eighty-two million, six hundred one thousand, eight hundred fifty-six".