2153663005120 has 224 divisors, whose sum is σ = 6000207943680. Its totient is φ = 727931842560.

The previous prime is 2153663005093. The next prime is 2153663005129. The reversal of 2153663005120 is 215003663512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153663005129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3240849 + ... + 3848431.

Almost surely, 2^{2153663005120} is an apocalyptic number.

2153663005120 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 2153663005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000103971840).

2153663005120 is an abundant number, since it is smaller than the sum of its proper divisors (3846544938560).

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

2153663005120 is a wasteful number, since it uses less digits than its factorization.

2153663005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607683 (or 607673 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

Adding to 2153663005120 its reverse (215003663512), we get a palindrome (2368666668632).

The spelling of 2153663005120 in words is "two trillion, one hundred fifty-three billion, six hundred sixty-three million, five thousand, one hundred twenty".