11637841200000 has 384 divisors, whose sum is σ = 38691032365440. Its totient is φ = 3099229440000.

The previous prime is 11637841199993. The next prime is 11637841200053. The reversal of 11637841200000 is 214873611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944393839 + ... + 944406161.

It is an arithmetic number, because the mean of its divisors is an integer number (100757896785).

Almost surely, 2^{11637841200000} is an apocalyptic number.

11637841200000 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 11637841200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19345516182720).

11637841200000 is an abundant number, since it is smaller than the sum of its proper divisors (27053191165440).

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

11637841200000 is an frugal number, since it uses more digits than its factorization.

11637841200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13152 (or 13120 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 11637841200000 in words is "eleven trillion, six hundred thirty-seven billion, eight hundred forty-one million, two hundred thousand".