2153326143200 has 144 divisors (see below), whose sum is σ = 5339083183056. Its totient is φ = 847895040000.

The previous prime is 2153326143187. The next prime is 2153326143209. The reversal of 2153326143200 is 23416233512.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153326143209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30507950 + ... + 30578450.

It is an arithmetic number, because the mean of its divisors is an integer number (37076966549).

Almost surely, 2^{2153326143200} is an apocalyptic number.

2153326143200 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 2153326143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669541591528).

2153326143200 is an abundant number, since it is smaller than the sum of its proper divisors (3185757039856).

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

2153326143200 is a wasteful number, since it uses less digits than its factorization.

2153326143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71117 (or 71104 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 2153326143200 in words is "two trillion, one hundred fifty-three billion, three hundred twenty-six million, one hundred forty-three thousand, two hundred".