2153321126400 has 240 divisors, whose sum is σ = 7140442250304. Its totient is φ = 572032942080.

The previous prime is 2153321126339. The next prime is 2153321126413. The reversal of 2153321126400 is 46211233512.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9992592 + ... + 10205808.

Almost surely, 2^{2153321126400} is an apocalyptic number.

2153321126400 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 2153321126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570221125152).

2153321126400 is an abundant number, since it is smaller than the sum of its proper divisors (4987121123904).

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

2153321126400 is a wasteful number, since it uses less digits than its factorization.

2153321126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213511 (or 213490 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 2153321126400 its reverse (46211233512), we get a palindrome (2199532359912).

The spelling of 2153321126400 in words is "two trillion, one hundred fifty-three billion, three hundred twenty-one million, one hundred twenty-six thousand, four hundred".