1036420185600 has 720 divisors, whose sum is σ = 3977457145200. Its totient is φ = 264315617280.

The previous prime is 1036420185553. The next prime is 1036420185649. The reversal of 1036420185600 is 65810246301.

It is a happy number.

1036420185600 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 42 + 0 + 1 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×1036420185600³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 182819566 + ... + 182825234.

It is an arithmetic number, because the mean of its divisors is an integer number (5524246035).

Almost surely, 2^{1036420185600} is an apocalyptic number.

1036420185600 is a gapful number since it is divisible by the number (10) 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 1036420185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988728572600).

1036420185600 is an abundant number, since it is smaller than the sum of its proper divisors (2941036959600).

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

1036420185600 is an equidigital number, since it uses as much as digits as its factorization.

1036420185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1036420185600 in words is "one trillion, thirty-six billion, four hundred twenty million, one hundred eighty-five thousand, six hundred".