36002796298128 has 240 divisors, whose sum is σ = 110426901279552. Its totient is φ = 10859412096000.

The previous prime is 36002796298123. The next prime is 36002796298159. The reversal of 36002796298128 is 82189269720063.

36002796298128 is a `hidden beast` number, since 3 + 60 + 0 + 279 + 6 + 298 + 12 + 8 = 666.

36002796298128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (36002796298123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2150567838 + ... + 2150584578.

Almost surely, 2^{36002796298128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36002796298128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55213450639776).

36002796298128 is an abundant number, since it is smaller than the sum of its proper divisors (74424104981424).

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

36002796298128 is a wasteful number, since it uses less digits than its factorization.

36002796298128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22974 (or 22965 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 36002796298128 in words is "thirty-six trillion, two billion, seven hundred ninety-six million, two hundred ninety-eight thousand, one hundred twenty-eight".