2153301615360 has 1728 divisors, whose sum is σ = 9288890956800. Its totient is φ = 467199000576.

The previous prime is 2153301615323. The next prime is 2153301615433. The reversal of 2153301615360 is 635161033512.

2153301615360 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 3 + 0 + 1 + 615 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4230454786 + ... + 4230455294.

It is an arithmetic number, because the mean of its divisors is an integer number (5375515600).

Almost surely, 2^{2153301615360} is an apocalyptic number.

2153301615360 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 2153301615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644445478400).

2153301615360 is an abundant number, since it is smaller than the sum of its proper divisors (7135589341440).

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

2153301615360 is an equidigital number, since it uses as much as digits as its factorization.

2153301615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 2153301615360 its reverse (635161033512), we get a palindrome (2788462648872).

The spelling of 2153301615360 in words is "two trillion, one hundred fifty-three billion, three hundred one million, six hundred fifteen thousand, three hundred sixty".