36885355852800 has 2112 divisors, whose sum is σ = 157476093329408. Its totient is φ = 7405240320000.

The previous prime is 36885355852789. The next prime is 36885355852817. The reversal of 36885355852800 is 825855358863.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13215819405 + ... + 13215822195.

Almost surely, 2^{36885355852800} is an apocalyptic number.

36885355852800 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 36885355852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78738046664704).

36885355852800 is an abundant number, since it is smaller than the sum of its proper divisors (120590737476608).

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

36885355852800 is a wasteful number, since it uses less digits than its factorization.

36885355852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 276480000, while the sum is 66.

The spelling of 36885355852800 in words is "thirty-six trillion, eight hundred eighty-five billion, three hundred fifty-five million, eight hundred fifty-two thousand, eight hundred".