36011445120 has 768 divisors, whose sum is σ = 150066708480. Its totient is φ = 7783464960.

The previous prime is 36011445079. The next prime is 36011445121. The reversal of 36011445120 is 2154411063.

It is a happy number.

36011445120 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 144 + 512 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36011445121) 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 95 ways as a sum of consecutive naturals, for example, 58745934 + ... + 58746546.

It is an arithmetic number, because the mean of its divisors is an integer number (195399360).

Almost surely, 2^36011445120 is an apocalyptic number.

36011445120 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 36011445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75033354240).

36011445120 is an abundant number, since it is smaller than the sum of its proper divisors (114055263360).

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

36011445120 is a wasteful number, since it uses less digits than its factorization.

36011445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 36011445120 its reverse (2154411063), we get a palindrome (38165856183).

The spelling of 36011445120 in words is "thirty-six billion, eleven million, four hundred forty-five thousand, one hundred twenty".