36102355200000 has 864 divisors, whose sum is σ = 134829802762200. Its totient is φ = 9294888960000.

The previous prime is 36102355199917. The next prime is 36102355200017. The reversal of 36102355200000 is 255320163.

36102355200000 is a `hidden beast` number, since 3 + 6 + 102 + 3 + 552 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4389058520064 + 31713296679936 = 2095008^2 + 5631456^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1670389194 + ... + 1670410806.

Almost surely, 2^{36102355200000} is an apocalyptic number.

36102355200000 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 36102355200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67414901381100).

36102355200000 is an abundant number, since it is smaller than the sum of its proper divisors (98727447562200).

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

36102355200000 is an equidigital number, since it uses as much as digits as its factorization.

36102355200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21695 (or 21652 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 36102355200000 in words is "thirty-six trillion, one hundred two billion, three hundred fifty-five million, two hundred thousand".