36855825600 has 1008 divisors, whose sum is σ = 144770734080. Its totient is φ = 8177664000.

The previous prime is 36855825581. The next prime is 36855825673. The reversal of 36855825600 is 652855863.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36855825600.

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 143 ways as a sum of consecutive naturals, for example, 414110356 + ... + 414110444.

It is an arithmetic number, because the mean of its divisors is an integer number (143621760).

Almost surely, 2^36855825600 is an apocalyptic number.

36855825600 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 36855825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72385367040).

36855825600 is an abundant number, since it is smaller than the sum of its proper divisors (107914908480).

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

36855825600 is a wasteful number, since it uses less digits than its factorization.

36855825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

It can be divided in two parts, 3685 and 5825600, that added together give a palindrome (5829285).

The spelling of 36855825600 in words is "thirty-six billion, eight hundred fifty-five million, eight hundred twenty-five thousand, six hundred".