11836561920000 has 520 divisors, whose sum is σ = 39522848340096. Its totient is φ = 3149611008000.

The previous prime is 11836561919999. The next prime is 11836561920041. The reversal of 11836561920000 is 2916563811.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4277758617 + ... + 4277761383.

Almost surely, 2^{11836561920000} is an apocalyptic number.

11836561920000 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 11836561920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19761424170048).

11836561920000 is an abundant number, since it is smaller than the sum of its proper divisors (27686286420096).

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

11836561920000 is an frugal number, since it uses more digits than its factorization.

11836561920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 11836561920000 in words is "eleven trillion, eight hundred thirty-six billion, five hundred sixty-one million, nine hundred twenty thousand".