36036009000000 has 2205 divisors, whose sum is σ = 144562901934451. Its totient is φ = 8874835200000.

The previous prime is 36036008999983. The next prime is 36036009000007. The reversal of 36036009000000 is 90063063.

The square root of 36036009000000 is 6003000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 30537471749184 + 5498537250816 = 5526072^2 + 2344896^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36036009000007) by changing a digit.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 1242620999986 + ... + 1242621000014.

Almost surely, 2^{36036009000000} is an apocalyptic number.

36036009000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36036009000000 is the 6003000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36036009000000

36036009000000 is an abundant number, since it is smaller than the sum of its proper divisors (108526892934451).

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

36036009000000 is an frugal number, since it uses more digits than its factorization.

36036009000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 36036009000000 its reverse (90063063), we get a palindrome (36036099063063).

The spelling of 36036009000000 in words is "thirty-six trillion, thirty-six billion, nine million", and thus it is an aban number and an uban number.