36053766144 has 624 divisors, whose sum is σ = 122361744960. Its totient is φ = 10510663680.

The previous prime is 36053766131. The next prime is 36053766163. The reversal of 36053766144 is 44166735063.

36053766144 is a `hidden beast` number, since 3 + 605 + 37 + 6 + 6 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 36053766144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405098452 + ... + 405098540.

It is an arithmetic number, because the mean of its divisors is an integer number (196092540).

Almost surely, 2^36053766144 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 36053766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61180872480).

36053766144 is an abundant number, since it is smaller than the sum of its proper divisors (86307978816).

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

36053766144 is an equidigital number, since it uses as much as digits as its factorization.

36053766144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 36053766144 in words is "thirty-six billion, fifty-three million, seven hundred sixty-six thousand, one hundred forty-four".