36521836243200 has 5184 divisors, whose sum is σ = 177413684797440. Its totient is φ = 7355374387200.

The previous prime is 36521836243199. The next prime is 36521836243253. The reversal of 36521836243200 is 234263812563.

36521836243200 is a `hidden beast` number, since 3 + 6 + 5 + 2 + 18 + 3 + 624 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 354580934349 + ... + 354580934451.

Almost surely, 2^{36521836243200} is an apocalyptic number.

36521836243200 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 36521836243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88706842398720).

36521836243200 is an abundant number, since it is smaller than the sum of its proper divisors (140891848554240).

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

36521836243200 is a wasteful number, since it uses less digits than its factorization.

36521836243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 36521836243200 in words is "thirty-six trillion, five hundred twenty-one billion, eight hundred thirty-six million, two hundred forty-three thousand, two hundred".