36052773120 has 1296 divisors, whose sum is σ = 166030890480. Its totient is φ = 7159283712.

The previous prime is 36052773083. The next prime is 36052773121. The reversal of 36052773120 is 2137725063.

36052773120 is a `hidden beast` number, since 3 + 6 + 0 + 527 + 7 + 3 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1652910336 + 34399862784 = 40656^2 + 185472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36052773121) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2120751352 + ... + 2120751368.

It is an arithmetic number, because the mean of its divisors is an integer number (128110255).

Almost surely, 2^36052773120 is an apocalyptic number.

36052773120 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 36052773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83015445240).

36052773120 is an abundant number, since it is smaller than the sum of its proper divisors (129978117360).

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

36052773120 is a wasteful number, since it uses less digits than its factorization.

36052773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 36052773120 in words is "thirty-six billion, fifty-two million, seven hundred seventy-three thousand, one hundred twenty".