36028053600000 has 1296 divisors, whose sum is σ = 152098740807552. Its totient is φ = 7486080000000.

The previous prime is 36028053599983. The next prime is 36028053600001. The reversal of 36028053600000 is 635082063.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36028053600001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1293586075 + ... + 1293613925.

It is an arithmetic number, because the mean of its divisors is an integer number (117360139512).

Almost surely, 2^{36028053600000} is an apocalyptic number.

36028053600000 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 36028053600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76049370403776).

36028053600000 is an abundant number, since it is smaller than the sum of its proper divisors (116070687207552).

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

36028053600000 is an equidigital number, since it uses as much as digits as its factorization.

36028053600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27920 (or 27879 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 36028053600000 its reverse (635082063), we get a palindrome (36028688682063).

The spelling of 36028053600000 in words is "thirty-six trillion, twenty-eight billion, fifty-three million, six hundred thousand".