2133563900160 has 576 divisors, whose sum is σ = 8693084252160. Its totient is φ = 433025187840.

The previous prime is 2133563900107. The next prime is 2133563900227. The reversal of 2133563900160 is 610093653312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12630336 + ... + 12798144.

It is an arithmetic number, because the mean of its divisors is an integer number (15092160160).

Almost surely, 2^{2133563900160} is an apocalyptic number.

2133563900160 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 2133563900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346542126080).

2133563900160 is an abundant number, since it is smaller than the sum of its proper divisors (6559520352000).

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

2133563900160 is a wasteful number, since it uses less digits than its factorization.

2133563900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167894 (or 167880 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The spelling of 2133563900160 in words is "two trillion, one hundred thirty-three billion, five hundred sixty-three million, nine hundred thousand, one hundred sixty".