36096169697280 has 5376 divisors, whose sum is σ = 180892981002240. Its totient is φ = 6421059993600.

The previous prime is 36096169697227. The next prime is 36096169697281. The reversal of 36096169697280 is 8279696169063.

36096169697280 is a `hidden beast` number, since 3 + 609 + 6 + 1 + 6 + 9 + 6 + 9 + 7 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 36096169697199 and 36096169697208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36096169697281) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 284221808577 + ... + 284221808703.

Almost surely, 2^{36096169697280} is an apocalyptic number.

36096169697280 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 36096169697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90446490501120).

36096169697280 is an abundant number, since it is smaller than the sum of its proper divisors (144796811304960).

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

36096169697280 is a wasteful number, since it uses less digits than its factorization.

36096169697280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 36096169697280 in words is "thirty-six trillion, ninety-six billion, one hundred sixty-nine million, six hundred ninety-seven thousand, two hundred eighty".