2136348211200 has 576 divisors, whose sum is σ = 8107873562880. Its totient is φ = 486101483520.

The previous prime is 2136348211169. The next prime is 2136348211201. The reversal of 2136348211200 is 21128436312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136348211201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244066024 + ... + 244074776.

It is an arithmetic number, because the mean of its divisors is an integer number (14076169380).

Almost surely, 2^{2136348211200} is an apocalyptic number.

2136348211200 is a gapful number since it is divisible by the number (20) 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 2136348211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053936781440).

2136348211200 is an abundant number, since it is smaller than the sum of its proper divisors (5971525351680).

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

2136348211200 is a wasteful number, since it uses less digits than its factorization.

2136348211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9022 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 2136348211200 in words is "two trillion, one hundred thirty-six billion, three hundred forty-eight million, two hundred eleven thousand, two hundred".