36105885504 has 336 divisors, whose sum is σ = 116183907840. Its totient is φ = 10645032960.

The previous prime is 36105885493. The next prime is 36105885521. The reversal of 36105885504 is 40558850163.

36105885504 is a `hidden beast` number, since 3 + 6 + 10 + 5 + 88 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 36105885504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25301239 + ... + 25302665.

It is an arithmetic number, because the mean of its divisors is an integer number (345785440).

Almost surely, 2^36105885504 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 36105885504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58091953920).

36105885504 is an abundant number, since it is smaller than the sum of its proper divisors (80078022336).

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

36105885504 is a wasteful number, since it uses less digits than its factorization.

36105885504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 36105885504 in words is "thirty-six billion, one hundred five million, eight hundred eighty-five thousand, five hundred four".